Trigonometric Relationships and Identities Quiz

Test your knowledge with questions on sine, cosine, tangent, and trigonometric identities. Explore concepts of amplitude, period, and quadrant relationships.

#1

What is the value of sin(90°)?

0
1
-1
Undefined
#2

What is the value of cos(0°)?

0
1
-1
Undefined
#3

What is the value of tan(45°)?

0
1
-1
Undefined
#4

Which of the following is an identity for cosine?

sin^2(x) = 1 - cos^2(x)
tan(x) = sin(x)/cos(x)
1 + tan^2(x) = sec^2(x)
cos(x + y) = cos(x)cos(y) - sin(x)sin(y)
#5

What is the period of the function y = 2sin(3x)?

π/3
π
#6

Which of the following is an identity for tangent?

1 + tan^2(x) = sec^2(x)
cot(x) = cos(x)/sin(x)
sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
1 - cos^2(x) = sin^2(x)
#7

What is the amplitude of the function y = 4cos(2x)?

2
4
-2
-4
#8

Which of the following is NOT a Pythagorean identity?

sin^2(x) + cos^2(x) = 1
tan(x) = sin(x)/cos(x)
1 + cot^2(x) = csc^2(x)
sec^2(x) = 1 + tan^2(x)
#9

If sin(θ) = 3/5 and θ is in quadrant II, what is cos(θ)?

-4/5
-3/5
4/5
3/5
#10

If tan(θ) = -√3 and θ is in quadrant III, what is sin(θ)?

-1/2
-√3/2
1/2
√3/2
#11

What is the period of the function y = tan(x)?

π
π/2
2π/3

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