6-12 Pythagorean Identity

Please select the correct solution 
cos ² x + sin ² x=  

• 1
• csc ² x + sec ² x
• sin ² x
• 1 - sin ² x

Given sin⊖ =  $\frac{-1}{3}$   and cos⊖ =  $\frac{2\sqrt{2}}{3}$  , find the exact value for tan⊖.

•  $-2\sqrt{2}$  

•  $\frac{\sqrt{2}}{4}$  

•  $-3$  

•  $\frac{-\sqrt{2}}{4}$  

Tags

CCSS.HSF.TF.C.9

The expression  $\sin^2x+\cos^2x-b^2$  is equal to

• 1

•  $b^2$  

•  $\left(1+b\right)\left(1-b\right)$  

•  $\sin x\cos x-b$  

Solve on the domain [0, 2π)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• No solution

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $3\sin^2\theta=7\sin^2\theta+4\sin\theta+1$  

•  $\theta=\frac{7\pi}{6}$  

•  $\theta=0,\frac{\pi}{3},\frac{5\pi}{3}$  

•  $\theta=\frac{3\pi}{4},\frac{7\pi}{4}$  

•  $\theta=\frac{7\pi}{6},\frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Find the solution over the interval [0, 2π)

• π/2; 3π/2; π/4; 3π/4
• π/2; 3π/2
• π/4; 3π/4
• π/4

Tags

CCSS.HSF.TF.B.7

Simplify the trig expression.

• tan²x

• 2

• cot²x

• 1

Factor.
1 - sin²x

• (1 - sin x)²
• (1 - sin x)(1 + sin x)
• (1 + sin x)²
• (sin x)²
  

cos x + sin x =

• nothing in particular
• 1
• -1
• tan x

Tags

CCSS.HSF.TF.C.8

• sin x
• cos x
• tan x
• 1