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Precalculus: Trigonometric Functions

Problems

Graphs

Inverse Trigonometric Functions

Problem : Which trigonometric function is equivalent to this expression: sin( - x) ?

sin( - x) = cos(x) .

Problem : What are the amplitude and period of y = - 3 sin(2x + 1) ?

Amplitude = 3. Period = Π .

Problem : What are the amplitude and period of y = cos( x) ?

Amplitude = . Period = 4Π .

Problem : Which of the trigonometric functions are even, which are odd, and which are neither?

Cosine and Secant are even. Sine, cosecant, tangent, and cotangent are odd.

Problem : What are the period and amplitude of the function below?

Amplitude = 1. Period = Π .

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