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  1. AP Pre Calculus
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Trigonometric and Polar Functions

Question 1
college-boardPre-CalculusAPExam Style
1 mark

Which equation would have a solution that reflects rotational symmetry around the origin on its graph?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

For which values of w does (w(−))(+)((sec⁡(−)−csc⁡(−))/(+sec⁡(−)(+)csc⁡(−)))(w^{(-)})^{(+)}((\sec(-)-\csc(-))/(+\sec(-)^{(+)}\csc(-)))(w(−))(+)((sec(−)−csc(−))/(+sec(−)(+)csc(−)));

Question 3
college-boardPre-CalculusAPExam Style
1 mark

What is the solution to the equation 2sin⁡(x)=22\sin(x) = \sqrt{2}2sin(x)=2​ for 0≤x<2π0 \leq x < 2\pi0≤x<2π?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

If a roller coaster's path over time can be represented by f(x)=x3−6x2+9xf(x) = x^3 - 6x^2 + 9xf(x)=x3−6x2+9x, at which values of x does the roller coaster begin to descend again?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

Which inequality represents all solutions where cosecant is positive?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

If cos⁡(θ)=1\cos(\theta) = 1cos(θ)=1, what are the possible values of θ\thetaθ?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

If sin⁡(x)=cos⁡(x)\sin(x) = \cos(x)sin(x)=cos(x) for 0<x<π20 < x < \frac{\pi}{2}0<x<2π​, what is the value of tan⁡(2x)\tan(2x)tan(2x)?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

Which equation represents a basic sine function with a period of π\piπ?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

Which expression gives all solutions for tan⁡(θ)=tan⁡θ\tan(\theta) = \sqrt{\tan^{\theta}}tan(θ)=tanθ​ on the interval [0,π][0, \pi][0,π]?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

What is the general solution to the trigonometric equation cos⁡(2x)−3/2=0\cos(2x) - \sqrt{3}/2 = 0cos(2x)−3​/2=0?