Trigonometric Identities - Algebra II

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Simplify cos θ tan θ

B. sin θ

Simplify 1-cos^2 θ /sin^2 θ

C. 1

Find the value of cos θ, if sin θ = 1/2; 0<θ<90

C. sqrt (3)/2

Find the value of csc θ, of cos θ = -1/4; 180<θ<270

D. -4/sqrt(15)

Find the value of sec θ, if cos θ = 2/19; 0<θ<90

D. 19/2

Simplify 5 sin θ sec θ

D. 5 tan θ

Simplify sin^2 θ cot^2 θ

D. cos^2 θ

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Describe how you can determine the quadrant in which the terminal side or angle a lies if sin a = -1/4

The sine function is negative in the third and forth quadrants. Therefore, the terminal angle must lie in one of those quadrants.

csc θ =1/sec θ

F

Explain what it means to simplify a trigonometric function.

Simplifying a trigonometric expression means writing the expression as a numerical value or in terms of a single trigonometric function, if possible.


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