5.3_bzat4e

# 5.3_bzat4e - Here are the answers to the previous slide...

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Section 5.3 Trigonometric Functions of Any Angle

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Trigonometric Functions of Any Angle

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Example 0 0 0 0 Evaluate the cosine function and the cotangent function at the following four quadrantal angles: a. =0 0 b. 90 2 c. =180 3 d. =270 2 θ π = = = = =
The Signs of the Trigonometric Functions

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Example Name the quadrant in which lies if the cotangent is positive and the sine is negative. θ

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Example 4 Given that cot = and sin >0 find the following: 3 sin = cos = sec = csc = θ -
Reference Angles

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Example Find the reference angle, ', for each of the following angles: 4 3 7 6 = - 120 θ π = =

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Example 0 Find the reference angle, ', for each of the following angles: 7 3 13 6 = 405 θ π = =
Evaluating Trigonometric Functions Using Reference Angles

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1 1 2 1 2 3 3 45 45 30 60 Find the sine, cosine and tangent of 30, 45 and 60 degree angles.

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Unformatted text preview: Here are the answers to the previous slide Example Use the reference angles to find the exact value of each of the following trigonometric functions: 4 sin 3 7 cos 6 tan - 120 π Example Use the reference angles to find the exact value of ech of the following trigonometric functions: 7 sec 3 13 csc 6 cot 405 π (a) (b) (c) (d) Find the reference angle for the angle -150 510 210 30 60-(a) (b) (c) (d) Use the reference angle to find the exact value of the 5 following trigonometric function. csc 3 π 2 2 1 1 2 3 2 2 3 3 =--...
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5.3_bzat4e - Here are the answers to the previous slide...

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