#1
What is the value of sin(90°)?
1
ExplanationSine of 90 degrees is the maximum value of 1.
#2
What is the reciprocal of sec(30°)?
2
ExplanationReciprocal of secant of 30 degrees is 2.
#3
What is the value of tan(45°)?
1
ExplanationTangent of 45 degrees is 1.
#4
If cos(θ) = 0.6, what is sec(θ)?
1.2
ExplanationSecant is the reciprocal of cosine, so if cos(θ) = 0.6, sec(θ) = 1/0.6 = 1.2.
#5
What is the value of sin(180°)?
0
ExplanationSine of 180 degrees is 0.
#6
If sec(θ) = 2, what is cos(θ)?
1/2
ExplanationIf sec(θ) = 2, then cos(θ) = 1/sec(θ) = 1/2.
#7
Which of the following is equivalent to cos(π/6)?
sin(π/6)
ExplanationCosine of π/6 is equivalent to sine of π/6.
#8
If sin(θ) = 0.8, what is cos(θ)?
0.4
ExplanationGiven sin(θ) = 0.8, cos(θ) is its complementary value of 0.4.
#9
Which of the following is equivalent to cot(π/4)?
sqrt(2)
ExplanationCotangent of π/4 is equivalent to the square root of 2.
#10
If tan(θ) = 4/3, what is cos(θ)?
3/5
ExplanationGiven tan(θ) = 4/3, you can find cos(θ) using the Pythagorean identity.
#11
Which of the following is equivalent to sin(π/4)?
sin(π/6)
ExplanationSine of π/4 is equivalent to sine of π/6.
#12
If tan(θ) = -3/4, what is sin(θ)?
3/5
ExplanationGiven tan(θ) = -3/4, you can find sin(θ) using the Pythagorean identity.
#13
What is the amplitude of the function y = 3cos(2x)?
3
ExplanationThe amplitude of cosine function is the coefficient outside the function, which is 3.
#14
What is the amplitude of the function y = 2sin(4x)?
2
ExplanationThe amplitude of sine function is the coefficient outside the function, which is 2.