How do you find y if the point (5,y) is on the terminal side of theta and #costheta=5/13#?

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How do you find y if the point (5,y) is on the terminal side of theta and #costheta=5/13#?

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Answer 1 · 2017-12-02T04:13:00

#y = +- 12#

Explanation:

#cos t = 5/13#
#sin t = y/13#
Use trig identity:
#sin^2 t + cos^2 t = 1#
#y^2/169 + 25/169 = 1#
#y^2 + 25 = 169#
#y^2 = 169 - 25 = 144#
#y = +- 12#
There are 2 arcs (or angles) t that have the same cos value (5/13).

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How do you find y if the point (5,y) is on the terminal side of theta and #costheta=5/13#?

1 Answer

Explanation:

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