tan 0 = -2, 0
lies in the Il quadrant

Find the five remaining trigonometric function values

Answers

Answer 1

Answer:

Sin O = [tex]\frac{2\sqrt{5} }{5}[/tex]

Cos O = [tex]-\frac{\sqrt{5} }{5}[/tex]

Cot O =  [tex]-\frac{1}{2}[/tex]

Csc O =  [tex]\frac{\sqrt{5} }{2}[/tex]

Sec O = [tex]-\sqrt{5}[/tex]

Step-by-step explanation:

Do you know the definitions of all the trig functions?  If not, you need to memorize them.  Also, you need to memorize which functions are positive in each quadrant.  All functions are positive in quad I, sine and reciprocal are positive in quad II, tan and reciprocal are positive in quad III, and cos and reciprocal are positive in quad IV.  OK?

Tan of  an angle is opposite side/adjacent side of a right triangle

If the tan O = - 2. let the opp. side = 2 and adjacent side = 1.  Then the hypotenuse = [tex]\sqrt{2^{2} + 1^{2} } = \sqrt{4 + 1} = \sqrt{5}[/tex]

Sine is positve and equals opp/hyp = [tex]\frac{2}{\sqrt{5} } = \frac{2\sqrt{5} }{5}[/tex]

Cos is negative and equals adj/hyp  =  [tex]-\frac{1}{\sqrt{5} } = -\frac{\sqrt{5} }{5}[/tex]

Cot is negative and is the reciprocal of the tan or adj/opp = [tex]\frac{-1}{2}[/tex]

Csc is positive and is the reciprocal of the sine or hyp/opp = [tex]\frac{\sqrt{5} }{2}[/tex]

Sec is negative and is the reciprocal of the cos or hyp/adj = [tex]-\sqrt{5}[/tex]


Related Questions

Y=4x-1 fill in table

Answers

Answer:

please provide table

there is no table in question

The function, f(x) = sec(x), is plotted below.


On a coordinate plane, parabolas repeat. A parabola opens up approaches StartFraction pi Over 2 EndFraction, has vertex (0, 1), and approaches StartFraction pi over 2 EndFraction. The parabola flips over the x-axis at every measure of pi.


For which values of x is the limit positive infinity when x approaches the values from the left?


Negative StartFraction 3 pi Over 2 EndFraction

Negative StartFraction pi Over 2 EndFraction

0

StartFraction pi Over 2 EndFraction

StartFraction 3 pi Over 2 EndFraction

Answers

Answer:

OPTION ONE

and

OPTION FOUR

Step-by-step explanation:

100% correct edge

do not pick a and b as its not B !!!!

The value of x is the limit positive infinity when x approaches the values from the left the options one and four is correct.

We have given that,

The function, f(x) = sec(x), is plotted below.

On a coordinate plane, parabolas repeat.

What is the limit?

The limit is a  value that a function (or sequence) approaches as the input (or index) approaches some value.

A parabola opens up approaches StartFraction pi Over 2 EndFraction, has vertex (0, 1), and approaches StartFraction pi over 2 EndFraction. The parabola flips over the x-axis at every measure of pi.

We have to determine the value for which values of x is the limit positive infinity when x approaches the values from the left.

from the graph, we have options one and four is correct.

To learn more about the graph visits:

https://brainly.com/question/4025726

#SPJ2

Find the slope and the y-intercept of the line whose equation is -5x+3y-8=0

Answers

The slope is 5/3 and the h intercept is (0,8/3)

A type of electric car can travel 3 miles on 1 kilowatt hour of electricity. How many kilowatt hours of electricity would it take to drive electric car to ​'s house and​ back? Lives miles from .

Answers

Answer:

Question is incomplete so I'll use a reference.

Assume the person whose house the car went to is 21 miles away.

The car would have had to go back and forth so the total distance spent would be:

= 21 + 21

= 42 miles

The car uses 1 kilowatt hour to go 3 miles. Now it has to go 42 miles.

The number of kilowatt hours it will need are:

= Distance / distance per kilowatt hour

= 42 / 3

= 14 kilowatt hours

Which is greater? 3/50 or 0.74

Answers

Answer:

0.74

Step-by-step explanation:

3/50 = 0.6

0.6<0.74

Need answers ASAP please and Thankyou!

Answers

Answer:

A = 65deg

B = 78deg

Step-by-step explanation:

It's a triangle, so we know that the sum of angles is 180deg

x + (2x - 9) + (2x + 4) = 180

5x - 5 = 180

5x = 185

x = 37

Measure of angle A = (2*37 - 9)deg = 65deg

Measure of angle B = (2*37 + 4)deg = 78deg

Question 21 of 45 If x + 2/7x = 9, then x = ?

Answers

i partly sure it’s x=7

What are the steps to solving the equation: -3w+9= -12

Answers

Answer:

   Simplify each side of the equation by removing parentheses and combining like terms.

   Use addition or subtraction to isolate the variable term on one side of the equation.

   Use multiplication or division to solve for the variable.

Step-by-step explanation:

Answer:

Solution

= −7

Step-by-step explanation:

3 + 9 = − 12

3 + 9 − 9 = − 12 − 9

Subtract the numbers

Subtract the numbers

3 = − 21

Divide both sides of the equation by the same term

3 = − 21

3/3 = −21/3

Solution

= −7

HELP PLEASE!! not sure about this one!!

Answers

Answer:

y=4x

Step-by-step explanation:

Kayla has 562 cookies. Her friend comes by and eats 37 of them. What does this mean?

Answers

Answer:

Step-by-step explanation:

it means that her friend ate 37 cookies from the 561 cookies that kayla had before she ate them

Answer:

it means That Kayla is about to catch a body

Step-by-step explanation:

Look at screenshot for question

Answers

1st box- 1
2nd box- 9
3rd box- 6
4th box- 5

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ADEF= AKLM?
Check all that apply.
AA
O A. LA
ОВ. НА
O C. AAS
D. SAS
E HL
F.LL

Answers

1 Answer: Choice D) SAS

=================================================

Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

----------------

HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

----------------

AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

-----------------

We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

ED = LK (double tickmarks)DF = KM (single tickmarks)

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

-----------------

Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

What is 64x12 – 1,000 written as a difference of cubes?

Answers

64x12-1,000 written as a difference of cubes is (4x4)3-103

1. Which of the following is a right triangle?
A.A piece of steel with sides 2 meters, 4 meters, and 5 meters,
B.A stained-glass window with sides 8 inches, 15 inches, and 20
inches.
C.A garden with sides 12 feet, 34 feet, and 37 feet.
D.ceramic tile with sides 20 centimeters, 21 centimeters, and 29
centimeters.

Answers

Answer:

c

Step-by-step explanation:

Answer:

D 20,21,29

Step-by-step explanation:

Write the words for:

(3/4 - 1/5) x 4:

Answers

Answer:

three-forth minus one-fifth times four

Step-by-step explanation:

Answer:

Step-by-step explanation:

Third -fourth subtracted from one-fifth multiplied by four

Can someone tell me why is nobody helping me in this app come on y’all help

Answers

Answer:

x = 3/2

Step-by-step explanation:

7/3 = (x + 2)/x

7x = 3(x + 2)

7x = 3x + 6

4x = 6

x = 6/4 = 3/2

There, someone helped you.  Now could you do it alone next time?

Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((

Steve started with $250 and spent $20 per week. Chelsea started with nothing but saved $30 per week. Use x for time and y for savings.

Write an equation to represent Steve's situation.

Answers

Answer:

[tex]250 - 20x=y[/tex]

Step-by-step explanation:

As per the given problem, Steve starts with $250, and spent $20 a week, the problem mentions nothing about Steve's savings, therefore, one can assume that they didn't save anything. As the problem requests, parameter ([tex]x[/tex]) will be used for the time, and ([tex]y[/tex]) for the savings.

Steve's saving would be equal to his initial value, minus his expense, in essence;

[tex]250 - 20x=y[/tex]

The initial value, minus the amount spend per week multiplied by the week number will equal the savings left.

Answer:

y=250-(20x)

Step-by-step explanation:

Help ASAP! ill mark brainliest if correct

Answers

Answer:

fourth option

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{15+16+21+23+25+25+25+39}{8}[/tex]

        = [tex]\frac{189}{8}[/tex]

       = 23.6 ( to 1 dec. place )

The median is the middle value of the data set. If there is no exact middle then it is the average of the values either side of the middle.

15  16  21  23  25  25  25  39

                    ↑ middle

median = [tex]\frac{23+25}{2}[/tex] = [tex]\frac{48}{2}[/tex] = 24

The mode is the value that occurs most often, that is 25

Thus

mean = 23.6 , median = 24 , mode = 25

What is the example of ratio?

Answers

Answer:

Step-by-step explanation:

f there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14

ALGEBRA 2 HELP!!!!!!!!

Answers

Answer:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Step-by-step explanation:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Round to the nearest 10th

Answers

85 is going to round up to 90 and 6 is going to round up to 10

Solve for t: t + 7 = 21 A. t = 28 B. t = 14 C. t = -28 D. t = -14

Answers

Answer:

B t= 14

Step-by-step explanation:

t + 7 = 21

collect like terms

t = 21 - 7

t = 14

What is GCF of 5p^4+4p^2?

Answers

Answer:

p^2

Step-by-step explanation:

Hellllllllllllllllllllp

Answers

Answer:

B would be your answer worked for me.

Step-by-step explanation:

Pls help plsssssss thanks

Answers

Answer:

1. 99.33

2. 96

The maxwell family went out to dinner.The price of the meal was $64.20. They left a 15%tip,what is the total cost of the meal including tip?​

Answers

Answer: The sales tax on the meal is 6%, and the family leaves a 20% tip. What is the total cost of the meal? Please answer with whole number or decimal. Linda C. answered • 01/05/15. We can do this problem a few different ways.

Step-by-step explanation:

Can you someone me, please!!! :0

Answers

44:56

im probably wrong im so sorry

Camile shaded 18/30 of a model write the decimal that represents the unshaded portion of the model

Answers

Answer:

.4

Step-by-step explanation:

Camile shaded 18/30 of a model.

Thus the unshaded portion of the model is:

30 - 18 = 12

12/30

12/30 = 0.4

NEED THIS QUESTION WUICK PLEASE

Answers

option three, I think

[tex]3 \sqrt[3]{4} [/tex]

Ezra spins the following spinner 50 times. How many times should he expect to land on a 4?

Answers

Answer:

10

Step-by-step explanation:

you divide 5 and 50

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