cosA/1-sinA=1+sinA/cosA​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x

Consider the left side

[tex]\frac{cosA}{1-sinA}[/tex] ← multiply numerator/denominator by (1 + sinA)

= [tex]\frac{cosA(1+sinA)}{(1-sinA)(1+sinA)}[/tex] ← expand denominator using FOIL

= [tex]\frac{cosA(1+sinA)}{1-sin^2A}[/tex]

= [tex]\frac{cosA(1+sinA)}{cos^2A}[/tex] ← cancel cosA on numerator/ denominator

= [tex]\frac{1+sinA}{cosA}[/tex]

= right side , thus proven


Related Questions

how so u simplify in math​

Answers

Answer:

Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

Which of the following ratios are proportional
A. 4/9 = 8/13
B. 4/9 = 11/16
C. 4/9 = 8/18
D. 4/9 = 9/9

Answers

C is proportional because both are times by 2, 4x2=8 9x2=18

Which of these is closest in size to 1?
0.95
1.05
0.960
1.040
0.95

Answers

1.05....................

For brainiest:):):):):):)

Answers

Answer: 12. 5/20

13. 12/16

14. 35/15

15. 20/36

18.45/24

Step-by-step explanation: 12. 4x5=20 so 1x5=5 so its 5/20

13. 3x4=12 so 4x4=16 so its 12/16

14.  7x5= 35 so 3x5=15 so its 35/15

15. 9x4=36 so 5x4=20 so its 20/36

18. 15x3=45 so 8x3=24 so its 45/24

plz mark me brainliest

Luke cut down a tree that was 26.4 feet tall then he cut six equal pieces to take it away What is the length of each piece

Answers

26.4 divided by 6 = 4.4 ft each piece

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Answers

Answer:

Nice Bob

Step-by-step explanation:

3/8 x 3/4=

9/32
1/2
9/24
1/8

Answers

Answer:

9/32

Step-by-step explanation:

3 x 3 = 9. 8 x 4 = 32. 9/32

FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (61pts)

Answers

Answer:

Can I get the pdf?

Step-by-step explanation:

After giving a discount of 15% an article is sold for rs 3400. find its marked price

Answers

Divide 3400 by 0.85 to get 4000

Answer: 4000

A vial holds 2 milliliters of pixie dust. How many vials can we fill with 13 milliliters of pixie dust?

Answers

Answer: 6 and a half

Step-by-step explanation: 13 is an uneven number so you divide 13 by 2 and get 6.5

PLEASE HELP PLEASE!!!

Answers

Answer:

F; A translation of 6 up and 4 left and a reflection across the x-axis

Step-by-step explanation:

Here, we want to perform the translation that would move S to S’

to do this, we can have a subtraction

For 1 to move to -3 on the x-axis;

it means there is a leftward shift of upto 4 units

For -8 to turn to 2;

this is positive; there is a vertical upward translation of upto 10 units on the y-axis

This option is not directly available; thus we have to factor the reflection

if we reflect on the x-axis, the y-axis value becomes negated; if we reflect on the y-axis, the x-value becomes negated

The correct answer is thus;

A translation of 6 up and 4 left, followed by a reflection across the x-axis

The volume of a block is 90cm and its density is 4 g.what is the mass

Answers

Answer:

Density, mass and volume are all related by the definition of density, which is ... The volume of a sphere is 4/3πr3, so if the rock has a radius of 10 inches, its ... The density of mercury is 13.6 g/ml, so a volume of 1 ml has a mass of 13.6 grams. ... You can set your browser to block or alert you about these cookies, but some

Step-by-step explanation:

Help me with all 4 please! :(

Answers

1- 2/3 2- 5/2 3- 3/1 4 - 3/5

if p(x)=2x+3y Q(x) = x + 2 what is
p(x) + Q (x)

Answers

Answer:

p(x)+Q(x)=(2x+3y)+(x+2)=2x+3y+x+2= 3x+3y+2

3x+3y+2 is the right answer.

Answer:

if p(x)=2x+3y Q(x) = x + 2 what is

p(x) + Q (x)=2x+3y+x+2=3x+3y+2

Can someone please help me

Answers

the answer is a, because you would multiply 1/2 to the expression (15+x).

If f(x)= -3x + 1, then f^-1(x)=

Answers

Answer:

f^-1(x) = (x-1)/-3

Step-by-step explanation:

Invert equation:

Describe X in original function:

multiplied by -3

add 1

Reverse order:

subtract 1

divide by -3

Steven brings 4 pounds of macaroni and cheese to a potluck dinner there are a total of 15 people attending the dinner if the macaroni and cheese a share evenly how much does each guest receive

Answers

Answer:

0.6

Step-by-step explanation:

1/6x + 7 = -41

Pls help I’m confused pls pls pls pls p

Answers

Step-by-step explanation:

First subtract 7 from both sides, so now you have 1/6x = -48 then divide both sides by 1/6

so x = -288

Sorry if its the wrong answer, thats what I got

Help needed please ASAP

Answers

Answer:

The right answer is A.

As a result of it being raised to a negative number, you write its inverse.

52 + 122
3 64a
Work out the value of a.
Your final line should say, a = ...
+
I

Answers

Answer:

please can u send me this question again

because I did not understood this question

Northside Middle School spent $1187.50 on
95 math books. How much did each book
cost?

Answers

Answer:

Each book cost $12.50 dollars.

Step-by-step explanation:

1,187.50 / 95 = 12.50

I think the answer is $12.50.

You can get this answer by dividing 1187.50 by 95

.

The sequence 200, 100, 50, 25, ... has a common ratio of
.

Answers

Answer:

1/2

Step-by-step explanation:

Multiply all of them by 1/2 and it’ll give you the next value

please help me with this graph!

Answers

Answer:

y=4/3x-1

Step-by-step explanation:

(x+6)³

porfis porfis porfis siiiiiiiiiiiiiiiiiiiiiiiiiiiiiii ayuda ​

Answers

Answer:

3x+9

Step-by-step explanation:

3x+9 that will be the answer

Jerry thinks that x < 4 is a solution to the following inequality: 2x + 10 < 4x - 20
Is Jerry right? Justify your response.

plss guys help me i only have 6 minutes left

Answers

Answer:

x>15

Step-by-step explanation:

Given the inequality: 2x + 10 < 4x - 20

Collect like terms

2x-4x<-20-10

-2x<-30

x > -30/-2

x>15

Hence the solution is x>15

.
What is the purpose of parentheses in a two-step problem?
Parentheses tell you to multiply first.
Parentheses tell you to do the operation with the largest numbers.
Parentheses tell you to add first.
Parentheses tell you what operation to do first.

Answers

Answer:

The Parenthesis tells you what operation to do first.

Step-by-step explanation:

Why? Because you have to get rid of the Parenthesis before getting rid of anything else in the problem.

Use the data to complete the line plot then answer the question a clerk in a health food store makes bags of trail mix the amount of trail mix in each bag is listed below

Answers

Answer:

The average amount of trail mix in each bag is [tex]\frac{1}{2}[/tex]lb

Step-by-step explanation:

First, we need to calculate the sum of all the trail mix

Sum of Trail Mix = [tex]\frac{1}{4}[/tex]lb +

Now count the numbers of trail mixes

Numbers of trail mixes = 12

Calculate the average amount of the trail mix using the following formula

Average Trail mix = Sum of Trail Mix / Numbers of trail mixes

Average Trail mix = 6 lb / 12

Average Trail mix = [tex]\frac{1}{2}[/tex]lb

If y= 4x, calculate the value of y when x= 12

Answers

Answer:

y = 48

Step-by-step explanation:

y = 4 * 12

y = 48

y = 4(12)
y = 48

the answer is 48!!

please help me with this assignment

Answers

Answer:

(1) Graph: E

Slope: m=1

y-intercept: (0,3)

(2) Graph: A

Slope: m= [tex]\frac{1}{2}[/tex]

y-intercept: (0,1)

(3) Graph: B

Slope: m= -4

y-intercept: (0,-5)

(4) Graph: C

Slope: m= -[tex]\frac{3}{4}[/tex]

y-intercept: (0,-4)

(5) Graph: F

Slope: m= [tex]\frac{3}{5}[/tex]

y-intercept: (0,-3)

so like can someone help me with this test

Answers

Answer:
(2x+1)(3x+5)

explanation:
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