Practice with
Pythagorean Identities

Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Solve the following problems dealing with Pythagorean Identities.  Stretch those math muscles! 
 

1.


find the values of the remaining trigonometric functions, using a Pythagorean Identity.

Answer 

 

 

2.

Simplify the expression

to a single trigonometric function.

Answer 

 

 

3. Simplify:

 Answer 

 

 

4.

Simplify:

Answer 

 

 

5.

 Simplify this expression into an expression whose only trig function is
sin x:

 

Answer 

 

 

6.

 Simplify this complex fraction into a single trigonometric function:

Answer 

 

 

7.

Write this expression as a monomial with a single trigonometric function:

Answer 

 


 

8.

Starting with ,
and using your knowledge of the quotient and reciprocal identities, derive an equivalent identity in terms of
tan(x) and sec(x).
Show all work.

Answer can be found on the Pythagorean Identities
lesson page.