Practice Page
Directions: Utilize your knowledge of Pythagorean Identities to solve the following problems.

1.
id1
find the values of the remaining trigonometric functions, using a Pythagorean Identity.
 

 

 

2.
Simplify the expression id2 to a single trigonometric function.
 

 

 

3.
Simplify:   id3
 

 

 

4.
Simplify:   id4

 

 

 

5.
Simplify:   id5

 

 

 

6.
Simplify this complex fraction into a single trigonometric function:
      id6
 

 

 

7.
Write this expression as a monomial with a single trigonometric function:    id7

 

 

 

8.
Starting with sin2(x) + cos2(x) = 1, 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.

 

 

 

9.
Using the identity sin2θ + cos2θ = 1, find the value of tanθ , to the nearest hundredth, if cosθ equals -0.7 and θ is in Quadrant II.

 

 

 

10.
Using a Pythagorean Identity, find sinθ if cosθ = ½ and θ terminates in Quadrant IV.
 


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