What is #cos(arc sin (5/13))#?

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What is #cos(arc sin (5/13))#?

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Answer 1 · 2018-05-05T00:11:51

12/13

Explanation:

Call x the arc (angle) whose sin is #(5/13)#
sin x = 5/13, find cos x.
#co^2 x = 1 - sin^2 x = 1 - 25/169 = 144/169#
#cos x = +- 12/13#
Since x is in Quadrant 1 (#sin x = 5/13#), then, cos x is positive.
#cos x = 12/13#

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What is #cos(arc sin (5/13))#?

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