Chapter 5: Trigonometric Identities & Equations

Simplify cos x tan x.

• csc x

• sin x

• 1

• cos x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify cos x + cos x tan² x

• sec x

• 1 + tan x

• csc x

• tan x

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

If csc x = 2, find sin x .

• $\sqrt{2}$

• $\frac{\sqrt{3}}{2}$

• 1/2

• 2

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Determine the exact vaue of cos x, given sin x = 4/5 and  $0\degree<x<90\degree$ .

• 5/3

• 3/5

• 4/5

• 5/4

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Complete the identity  $\frac{\sin x\cos x}{1-\cos^2x}=_{ }$ ________ .

• cos x

• tan x

• cot x

• sin x

Tags

CCSS.HSF.TF.C.8

Complete the identity of $\frac{\cot\ x+\tan x}{\sec^2x}=$  _____________.

• cos x

• cot x

• tan x 

• sin x

Tags

CCSS.HSF.TF.C.8

Complete the identity csc x (cos x - sec x) = ___________.

• -tan x

• tan x

• cot x

• -cot x

Tags

CCSS.HSF.TF.C.9

Complete the identity $\frac{\sec^2x\sin^2x}{\sec x-\cos x}=\$  ___________.

• csc x

• sec x

• tan x

• cot x

Tags

CCSS.HSF.TF.C.8

Solve $\sin x\cos x-\frac{\sqrt{3}}{2}\cos x\ =\ 0$ 

for principal values of x. Express solutions in degrees.

• 30 degrees, 60 degrees

• 150 degrees, 90 degrees

• 30 degrees, 90 degrees

• 60 degrees, 90 degrees

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.8

Solve  $\sin^2x-\sin x+1=\cos^2x\ for\ 0\le x<2\pi$ .

•  $0,\ \frac{\pi}{6},\ \frac{5\pi}{6}$  

•  $0,\ \frac{3\pi}{4},\ \frac{5\pi}{6},\ \pi$  

•  $0,\ \frac{\pi}{6},\ \frac{5\pi}{6},\ \pi$  

•  $0,\ \frac{\pi}{6},\ \frac{\pi}{3},\ \pi$