Trigonometric Identities

Trigonometric Identities

Simplifying trigonometric expressions

Proving trigonometric identities

Multiple Choice

Reciprocal Relationships

 $\cot\theta=$  

•  $-\cot\theta$  

•  $\frac{1}{\tan\theta}$  

•  $\frac{1}{\cot\theta}$  

Multiple Choice

Reciprocal Relationships

 $\csc\theta=$  

•  $\frac{1}{\sec\theta}$  

•  $\frac{1}{\cos\theta}$  

•  $\frac{1}{\sin\theta}$  

Multiple Choice

Reciprocal Relationships

 $\sec\theta=$  

•  $\frac{1}{\csc\theta}$  

•  $\frac{1}{\cos\theta}$  

•  $\frac{1}{\sin\theta}$  

Open Ended

Simplify

 $\tan\theta\cdot\cot\theta$  

Open Ended

Simplify

 $\frac{1}{\sin x\cdot\csc x}$  

Multiple Choice

• sinx

• cosx

• tanx

• secx

Multiple Choice

 $\sin\left(-\theta\right)=$  

•  $\sin\theta$  

•  $-\sin\theta$  

Multiple Choice

 $\cos\left(-\theta\right)$  

•  $\cos\theta$  

•  $-\cos\theta$  

Multiple Choice

 $\tan\left(-\theta\right)$  

•  $\tan\theta$  

•  $-\tan\theta$  

Evaluate (Write in your notebook and give exact answer where possible):

• sin50°, cos40°

• sin83°,cos7°

• sin30°, cos60°

• tan60°, cot30°

Open Ended

What is the relationship between given pair of angle measures in each question?

Briefly explain why.

function of  $\theta=co$ function of  $co$  mplement of  $\theta$  

Multiple Choice

• sinA

• cosA

• tanA

• secA

Multiple Choice

• $\sin^2x$

• $-\sin^2x$

• $\cos^2x$

• $-\cos^2x$

Open Ended

Solve the highlighted questions in the next two slides in your notebook. Show all steps clearly.