Trig Identities

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

Simplify

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the exact value of cos $75\degree$  

•  $\frac{\sqrt{6}-\sqrt{2}}{4}$  

•  $\frac{\sqrt{5}+\sqrt{3}}{4}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

Tags

CCSS.HSF.TF.C.9

Given angle A and B in Quadrant I with  $\sin A\ =\frac{12}{13}\ and\ \cos B\ =\frac{3}{5}\ find\ \cos\left(A+B\right)$  

•  $-\frac{33}{65}$  

•  $\frac{33}{65}$  

•  $\frac{1}{2}$  

•  $\frac{12}{13}$  

Tags

CCSS.HSF.TF.C.9

 $Given\ \cos\theta=\frac{5}{13}\ and\ \frac{3\pi}{2}<\theta<2\pi\ find\ \sin2\theta$  

•  $\frac{120}{169}$  

•  $-\frac{120}{169}$  

•  $\frac{24}{26}$  

•  $\frac{10}{26}$  

Tags

CCSS.HSF.TF.C.9

 $Solve\ 2\sin\theta+\sqrt{3}=0\ on\ the\ interval\ 0\degree\le\theta\le360\degree$  

•  $45\degree,\ 135\degree,\ 225\degree,\ 315\degree$  

•  $225\degree,\ 315\degree$  

•  $60\degree,\ 120\degree,\ 240\degree,\ 300\degree$  

•  $240\degree,\ 300\degree$  

Given sin α = -3/5, cos α = -4/5 and cos β = (2√5)/5, sin β = (-√5)/5
Please find the sum or difference:
cos (α+β)=

• (-11√5)/25
• (-2√5)/25
• (√2-√6)/4
• 2

• A
• B
• C
• D

Tags

CCSS.HSF.TF.C.9