Honors Pre-Cal Quiz06-q4 - Solving Trigonometric equations

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

• 0
• No solution
• π
• 3π/2

Tags

CCSS.HSF.TF.B.7

Which of the following is the solution of sin²x + cos²x = 2?

• 0

• π/4

• π/6

• no solution

Tags

CCSS.HSF.TF.B.7

Solve on the interval [0,360)  $\frac{2}{\sin x}-1=0$  

• 60,120

• 60, 240

• 120, 240

• 60, 300

Tags

CCSS.HSF.TF.B.7

Solve $\tan x=\cot x$ . Select all the right answers 

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

•  $-\frac{\sqrt{2}}{2}$  

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

4cos²x - 2 = 0

• π/3, 5π/3

• π/4, 7π/4

• 3π/4, 5π/4

• π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

 $\cot^2\ x+1\ =$  

•  $\sin^{2\ }x$  

•  $\csc^{2\ }x$  

•  $\cos^{2\ }x$  

• 1

 $\frac{\left(1-\cos^{2\ }x\right)}{\cos^{2\ }x}$  

•  $\cos^2\ x$  

•  $\cot^{2\ }x$  

• 1

•  $\tan^2\ x$  

• -1
• sin θ
• csc θ
• 1

Simplify the trig expression.

• 1
• -tanx
• -1
• tanx

What is the reference angle for 240 degrees?

• 60 degrees
• 30 degrees
• 45 degrees
• 210 degrees