astuber28 astuber28

29-01-2021
Mathematics

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If (5,-12) is a point on the terminal side of an angle θ, find the value of sin⁡θ, cos⁡θ, and tan⁡θ.

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mhanifa mhanifa

09-02-2021

Answer:

Given point (5,-12) falls into IV quadrant

The right triangle with legs of 5 and -12, and hypotenuse is:

√5² + (-12)² = √25+144 = √169 = 13

Value of sin⁡θ, cos⁡θ, and tan⁡θ:

sin⁡ θ = -12/13
cos ⁡θ = 5/13
tan⁡ θ = -12/5

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