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Trigonometric Functions: Sine, Cosine, Tangent of Any Angle | Example: Find Trigonometric Values of (-3,4)

Explore trigonometric functions to find sine, cosine, and tangent of any angle. Learn how to determine the values using examples and reference angles.

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Trigonometric Functions: Sine, Cosine, Tangent of Any Angle | Example: Find Trigonometric Values of (-3,4)

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  1. 4.4 Trigonometric Functions of Any Angle

  2. Ex. Find the sine, cosine, and tangent of if (-3,4) is a point on the terminal side of . (-3,4) ? = 5 4 -3

  3. Ex. Given and , find and . First, determine what quadrant theta lies in. Where is tan (-) and cos (+)? IV 4 -5 = ?

  4. Reference Angles A reference angle is the acute angle formed by the terminal side of and the horizontal axis. Find the reference angles of 300o, 2.3, and –135o. 1.57 2.3 rad 300o 60o 3.14 -2.30 .84 45o 3.14 -135o

  5. 60o ref. angle Evaluate the following. -1 tan (-210o) 240o 30o ref. angle 2 2 1 1 45o ref. angle -1

  6. Find the cosine and tangent of theta if….. and 3 1 ? =

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