Trigonometric Functions on Any Angle Section 4.4.

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Presentation transcript:

Trigonometric Functions on Any Angle Section 4.4

Objectives Determine the quadrant in which the terminal side of an angle occurs. Find the reference angle of a given angle. Determine the sine, cosine, tangent, cotangent, secant, and cosecant values of an angle given one of the sine, cosine, tangent, cotangent, secant, or cosecant value of the angle.

Vocabulary quadrant reference angle sine of an angle cosine of an angle terminal side of an angle initial side of an angle tangent of an angle cotangent of an angle secant of an angle cosecant of an angle

Reference Angle

What is the reference angle,, for the angle ? In which quadrant is the angle ?

Evaluate each of the following for.

For, find the values of the trigonometric functions based on.

Evaluate the following expressions if and

If and θ is in quadrant IV, then find the following.