
Directions: Utilize your knowledge of Pythagorean Identities to solve the following problems.
1. 
find the values of the remaining trigonometric functions, using a Pythagorean Identity. 



2. 
Simplify the expression to a single trigonometric function. 



3. 
Simplify: 



4. 
Simplify:




5. 
Simplify:




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




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




8. 
Starting with sin^{2}(x) + cos^{2}(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 sin^{2}θ + cos^{2}θ = 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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