HELPP ASAP
Consider this equation
cos(0)=-3/10
If 0 is an angle in quadrant II, what is the value of tan (0)
square root 91 / 10
square root 91/ 3
square root - 91/10
or square root - 91/3
Answers
Answer:
square root -91/3
Step-by-step explanation:
just took the test
The right option is missing. The correct answer is tan(0) = -(√91)/3.
The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.
What are trigonometric functions?The values of all trigonometric functions dependent on the value of the ratio of sides of a right-angled triangle are known as trigonometric ratios. The trigonometric ratios of a right-angled triangle's sides about any of its acute angles are known as that angle's trigonometric ratios.
The three sides of the right-angled triangle are:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
The trigonometry ratios for a specific angle ‘θ’ is given below:
Trigonometric Ratios:
Sin θ = Perpendicular/Hypotenuse
Cos θ = Base/Hypotenuse
Tan θ = Perpendicular/Base or Sin θ/Cos θ
Cot θ = Base/Perpendicular or 1/tan θ
Sec θ = Hypotenuse/Base or 1/cos θ
Cosec θ = Hypotenuse/Perpendicular or 1/sin θ
What is Pythagoras theorem?According to the Pythagoras theorem, we can say that in a right-angled triangle:
Hypotenuese² = Base² + Perpendicular²
How do we solve the given question?We are given cos(0) = -3/10, 0 being an obtuse angle (90° < 0 < 180°, since 0 is an angle in quadrant II)
We need to remember that in quadrant II, sine is always positive, cosine is negative, and tangent is also negative.
We are asked to find the value of tan(0).
We know cos(0) = Base/Hypotenuse.
So we let the hypotenuse be 10k, and let the base be 3k. Let the perpendicular be p.
By Pythagoras' Theorem,
Hypotenuese² = Base² + Perpendicular²
or, (10k)² = (3k)² + p²
or, 100k² = p² + 9k²
or, p² = 100k² - 9k² = 91k² = (k√91)²
or, p = k√91
Now, we can find the value of tan(0):
tan(0) = Perpendicular/Base = -(k√91)/3k = -(√91)/3
(Negative value taken as tan is negative in quadrant II)
∴ The trigonometric expression tan(0) has a value of -(√91)/3 when cos(0) = -3/10.
Learn more about trigonometric expressions at
brainly.com/question/7331447
#SPJ2
Related Questions
What is the product of the complex numbers below?
(3-9i)(6-i)
Answers
Answer:
(9-57i)
Step-by-step explanation:
We need to find the product of the given complex number i.e.
(3-9i)(6-i)
It can be solved as follows :
(3-9i)(6-i) = 3(6) +3(-i) +(-9i)(6) + 9i(i)
= 18-3i-54i+9i²
We know that, i² = -1
So,
= 18-3i-54i+9(-1)
= 18-57i-9
= 9-57i
So, the product of the given complex number is (9-57i).
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Answer:
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Answer:
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Step-by-step explanation:
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i need the full work shown and solution!
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Answer:
the diameter of Britain flag is given = 28mm
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5/18
Step-by-step explanation:
(5/6)/3
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The table shows the median annual salaries of a librarian associated with two levels of education.
Based on the data in the table, how much more money would a person with a master’s degree earn than a person with a bachelor’s degree over 15-year career?
Answers
Answer:
C) $160,500
Step-by-step explanation:
52,500×15=787,500
63,200×15=948,000
948,000- 787,500= 160,500
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12. 21.35 - 8.95 = 12.4
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Answers
Answer:
X=12
Step-by-step explanation:
Khan Academy
Marking brainliest
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Answer:
The equation for the speed of the train is: 162 = 3x
I think the speed of the train is 54 miles per hour
Step-by-step explanation:
We know that:
y = distance in miles
x = speed of train (miles/hour)
t = time traveled from the departing station (hours)
The equation: y = xt is given, we can therefore substitute the give values:
y = xt or tx
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Now we can find x by diving 3 on both sides of "="
162/3 = x
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Speed is 54mph
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Answer:
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Step-by-step explanation:
Just multiply the 2 numbers together
Answer:
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Step-by-step explanation:
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Answers
Answer:
24 students
Step-by-step explanation:
2/5 = x/60 -----> 24/60 = x/60 ---> 24/60 = 24/60
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Answers
Answer:
slop = 1/3
Step-by-step explanation:
slop= y2-y1 / x2-x
= 3-2/6-3
=1/3
Two apples cost 60 cents. How much do five cost?
cost?
Answers
Answer:
5 apples cost = 150 /-
Step-by-step explanation:
Two apples cost = 60 /-
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= 30
∴ 1 apple cost = 30 /-
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∴ 5 apples cost = 150 /-
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Answer:
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Step-by-step explanation:
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Answer:D
Step-by-step explanation:
you spin the spinner shown below once. each sector shown has an equal area. what is P(ladybug)
Answers
Answer:
1/5 or 20%
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y= X+3
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nswer the next two que
A particle travels across a detector, following a path given by:
9x - 4y + 2 = 0
The slope of the graph of this line, to two decimals, is
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Answer: 639
Step-by-step explanation:
Multiple
please help it is due in 10 minutes
Answers
Answer:
1. X= 4
2. X= 1
3. X= 3
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5. X= 7
6. X= -3/4
7. X= 6
8. X= 5
Step-by-step explanation:
Answer:
Look below :)
Step-by-step explanation:
1.x=4
2.×=1
3.x=3
4.x=5
5.x=7
6.x=-0.75
7.x=6
8.x=5
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Answers
Answer:
2028 square inches
Step-by-step explanation:
The side length of the styrofoam cube measures 6 1/2 inches.
Step 1
We find the surface area of a cube
The formula is given as
Surface Area = 6a²
Where a = Side length of the cube = 6 1/2 inches
Hence,
Surface area of a cube = 6 × (6 1/2inches)²
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The total surface area that Huy will paint is calculated as:
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Answers
Answer:
64
Step-by-step explanation:
i calculated using https://www.calculator.net/triangle-calculator.html :/
Answer:
[tex]m=64[/tex]
Step-by-step explanation:
[tex]m^2=n^2+0^2-2n~0~ co~12[/tex]
[tex]= 78^2+14^2-2*78*14~co ~12[/tex]
m= [tex]\sqrt{78^2+14^2-28*78 ~co~12}[/tex]
[tex]m=64[/tex]
---------------------------
hope it helps....
have a great day!!
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Answers
Answer:
2/25
Step-by-step explanation:
It will be 20/400 + 12/400
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Answer:
2/25
Step-by-step explanation:
Principal Leroy Jenkins wants to build a circular garden in the school courtyard. The garden will have a diameter of 20 feet. Principal Jenkins will put a fence around the garden to protect the plants. How much fencing should Principal Jenkins purchase?
Answers
Answer:
62.8ft
Step-by-step explanation:
we are to determine the circumference of the garden
circumference = πD
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Answer the question in the picture.
Answers
Answer:
3^-2=1/9
3^0=1
3^1=3
3^2=9
Answer:
3^-2 = 1/9
3^0 = 1
3^1 = 3
3^2 = 9
if an instrument measures in units of 1 then any value between which two values would be measure as 5?
a) 3.5 and 6.5
b) 4 and 6
c) 4.5 and 5.5
d) 5 and 6
Answers
Did you get the answer yet?
Help......................
Answers
Answer:
mean: 68.95 (69 rounded up)
median: 69.5
range: 11
Step-by-step explanation:
Answer: Mean is 69
Median is 69
Range is 11
Step-by-step explanation:
Mean is 69 because the is 68.95 and I rounded it
(4pq+3q)² - (4pq - 3q)²
Answers
Answer:
48pq².
Step-by-step explanation:
(4pq+3q)² - (4pq - 3q)²
This is the difference of 2 squares so we can use the identity
a^2 - b^2 = (a - b)(a + b):
(4pq+3q)² - (4pq - 3q)²
= (4pq + 3q - (4pq - 3q)(4pq + 3q + (4pq - 3q)
= (4pq + 3q - 4pq + 3q)(4pq + 3q + 4pq - 3q)
= 6q * 8pq
= 48pq².
Answer:
48pq²
Step-by-step explanation:
As we know,
(a + b)² = a² + 2ab + b²
and
(a – b)² = a² – 2ab + b²
So,
(4pq+3q)² - (4pq - 3q)²
= [(4pq)² + 2 X 4pq² X 3q + (3q)²] – [(4pq)² - 2 X 4pq² X 3q + (3q)²]
= (16p²q² + 24pq²+ 9q²) – (16p²q² – 24pq²+ 9q²)
= 16p²q²+ 24pq²+ 9q² – 16p²q²+ 24pq² – 9q²
= 24pq² + 24pq²
= 48pq²
help me with my math please
Answers
Answer:
Volume of a cylinder = πr²h
Given
V=81π
r=3
find h
Making h the subject
h= V/πr² = 81π/π(3)²
h= 81/9
h= 9cm