13.2 & 13.5

Solve on the Interval [0,2π) 
   sinθ = -1   

• θ = π /2, 3π /2 
• θ = π /2
• θ = 3π /2
• θ = π  

Tags

CCSS.HSF.TF.B.7

solve the equation sinx=1

• 0

• 45

• 90

• 180

Tags

CCSS.HSF.TF.B.7

cosx=1

• 0

• 30

• 45

• 90

Tags

CCSS.HSF.TF.B.7

• No solution
• π/3 +2πn, 5π/3 +2πn
• π/6 +2πn, 11π/6 +2πn
• 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \ 4\cos x+3=5\ \ \ for\ 0\le x<360\degree$  

•  $x\ =\ 60\degree,\ 120\degree$  

•  $x\ =\ 60\degree,\ 300\degree$  

•  $x\ =\ 30\degree,\ 150\degree$  

•  $x\ =\ 30\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

   $Solve\ \ \tan\ x\ +\ \sqrt{3}\ =\ 0\ \ for\ 0\ \le\ x\ <\ 360\degree$  

•  $30\degree,\ 210\degree$  

•  $150\degree,\ 330\degree$  

•  $60\degree,\ 240\degree$  

•  $120\degree,\ 300\degree$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \cos x\ \tan x\ +\ \cos x\ =\ 0\ \ for\ 0\ \le\ x\ <\ 2\pi$  

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

•  $0,\ \frac{3\pi}{4},\ \pi,\ \frac{7\pi}{4}$  

•  $\frac{\pi}{2},\ \frac{3\pi}{4},\ \frac{3\pi}{2},\ \frac{7\pi}{4}$  

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

Tags

CCSS.HSF.TF.B.7

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

Simplify

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.3

Simplify the expression  $\frac{\cot x}{\sec^2x+\csc^2x}$  

•  $\frac{\sin x\cos^2x}{\sec x}$  

•  $\cos x\sin x$  

•  $\frac{1}{\cot x+\sec x}$  

•  $\sin x+\cos^3x$