Trigonometric Concepts and Measures Quiz

Test your trigonometry skills with questions on identities, derivatives, exact values, and function properties.

#1

What is the value of sin(90°)?

0
1
1/2
-1
#2

What is the trigonometric identity: sin^2(θ) + cos^2(θ)?

1
0
-1
2
#3

What is the value of cos(270°)?

-1
0
1
1/2
#4

What is the exact value of sec(0)?

1
0
Undefined
#5

What is the exact value of sin(π/2)?

1
0
-1
Undefined
#6

What is the exact value of cos(0)?

1
0
-1
Undefined
#7

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

π/3
2π/3
π
#8

What is the exact value of cos(π/3)?

1/2
√2/2
√3/2
2
#9

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

2
3
π
1/3
#10

What is the range of the function y = cos(x)?

(-∞, ∞)
[-1, 1]
(0, π)
(0, ∞)
#11

What is the exact value of tan(π/6)?

√3/3
1/√3
√3
3
#12

What is the exact value of sin(π/3)?

√3/2
1/2
1
√2/2
#13

What is the derivative of tan(x) with respect to x?

cos(x)
sec^2(x)
-sin(x)
-csc^2(x)
#14

What is the period of the function y = 2cos(4x) + 3?

π/4
π/2
#15

What is the exact value of sin(π/4)?

1/√2
1
√3/2
√2/2
#16

What is the derivative of sec(x) with respect to x?

sec(x)tan(x)
csc(x)cot(x)
sec(x)
-sec(x)tan(x)
#17

What is the period of the function y = 3sin(2x) + 4cos(2x)?

π
π/2
#18

What is the derivative of csc(x) with respect to x?

-csc(x)cot(x)
csc(x)cot(x)
-sec(x)tan(x)
sec(x)tan(x)

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