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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. |
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2. |
Simplify the expression  to a single trigonometric function. |
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3. |
Simplify:  |
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4. |
Simplify: 
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5. |
Simplify: 
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6. |
Simplify this complex fraction into a single trigonometric function:
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7. |
Write this expression as a monomial with a single trigonometric function: 
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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.
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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.
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10. |
Using a Pythagorean Identity, find sinθ if cosθ = ½ and θ terminates in Quadrant IV.
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