Free Printable Acc Precalc - Solving More Advanced Trig Equations

1.

Solve $\cos\left(2x\right)=\sin x$ on $\left[0,2\pi\right)$

a)

$0,\frac{7\pi}{6},\ \frac{11\pi}{6}$

b)

$\frac{\pi}{2},\ \frac{7\pi}{6},\frac{11\pi}{6}$

c)

$\frac{\pi}{6},\frac{5\pi}{6},\frac{3\pi}{2}\ \$

d)

$\frac{\pi}{6},\ \frac{5\pi}{6},\pi$

2.

Suppose $\cos\left(x\right)=A$ and A is positive. If $\cos^{-1}A=B$ , which of the following would be solutions for x? Select all that apply.

a)

$B$

b)

$\pi-B$

c)

$\pi+B$

d)

$2\pi-B$

3.

Which city hosted the 2008 Olympic Summer Games?

a)

Rio

b)

London

c)

Beijing

d)

Tokyo

4.

Solve $\cos\left(x\right)=2\sin^2\left(\frac{x}{2}\right)$ on $\left[0,2\pi\right)$

a)

$\frac{2\pi}{3},\frac{4\pi}{3}$

b)

$\frac{\pi}{3},\frac{5\pi}{3}$

c)

no solutions

d)

$\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$

5.

Which are NOT solutions to $\sin\left(2x\right)\cos\left(x\right)+\cos\left(2x\right)\sin\left(x\right)=1$ on $\left[0,2\pi\right)$ . Select all that apply.

a)

$\frac{\pi}{2}$

b)

$\frac{3\pi}{2}$

c)

$\frac{5\pi}{6}$

d)

$\pi$

e)

$\frac{\pi}{6}$

6.

What is the 100th digit of $\pi$ ?

a)

9

b)

4

c)

7

d)

2

7.

Solve

3\sec x+4=5\sec x+11

on

\left[0,2\pi\right)

. Then find the SUM of the solutions.

a)

1.281

b)

1.861

c)

3.142

d)

6.283

8.

Which of the following is a solution of $2\cos^2x-5\cos x+1$

a)

0.219

b)

6.064

c)

1.792

d)

4.933

9.

Which of the four Beatles was the eldest?

a)

John Lennon

b)

Paul McCartney

c)

George Harrison

d)

Ringo Starr

10.

How many solutions does $8\cos\left(3x\right)=-4$ have on $\left[0,2\pi\right)$ ?

a)

2

b)

4

c)

6

d)

8

11.

The height of a seat on a Ferris Wheel in feet varies according to the equation: $H\left(t\right)=20\sin\frac{\pi}{90}\left(t-40\right)+22$ where t is measured in seconds. When is the first time the seat is 10 feet off the ground?

a)

21.565 sec

b)

58.434 sec

c)

111.565 sec

d)

148.435 sec

12.

What flavor was the Twinkie's original filling?

a)

Vanilla

b)

Chocolate

c)

Banana

d)

Cherry

Acc Precalc - Solving More Advanced Trig Equations

Total questions: 12

Worksheet time: 24mins

Similar Resources on Wayground