Trigonometry Answers

Find all solutions in the interval [0, 2π): 2cos^2(2θ)-1=0
a. π/4, 3π/4, 5π/4, 7π/4
b. π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8
c. π/8, π/4, 3π/8, 3π/4
d. π/2, π/4, 3π/2, 3π/4, 5π/2, 5π/4, 7π/2, 7π/4
d. none of these

a golfer hits her ball a distance of 127 m so that it finishes 31 m from the hole, calculate the angle between the line of her shot and direct line to the shot

Given tan⁡u=-1/3 and sin⁡〖u<0,〗 find sin⁡(u/2). (Assume 0≤u<2π.)



-√((10+3√10)/20) b. √((10-3√10)/20) c. √((10+3√10)/20)

d. -√((10-3√10)/20) e. None of these

Given tan⁡θ=3/4 and sin⁡〖θ)]<0, find tan⁡2θ.


a. 1/3 b. √5/3 c. 5/9 d. 24/7 e. None of these

Simplify: cos⁡(5π+x)


a. cos⁡x b.〖 sin〗⁡x c. -sin⁡x d. -cos⁡x e. None of these

For what values of x, 0≤x<2π is it true that csc⁡x=√(cot^2⁡x+1)?
a. 0<x<π b. π<x<2π c. π/2≤x≤3π/2
d. 0≤x<π/2, π<x<3π/2 e. None of these

Solve the right triangle given a = 9 and b = 12.
Solve the right triangle given b = 5 and c = 7.
Solve the right triangle given a = 8 and A = 50◦
Solve the right triangle given c = 5.6 and B = 17◦
Solve the right triangle given a = 3 and B = 10◦

Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?

Sketch the graph of y=x^2 cos⁡(x). (Hint: (2π)^2≈39.5)

Sketch the graph of y=-2x+3sin⁡2x. Be sure to state the two equations the graph oscillates between.