Given that cos x° =Sin (3x +10)find tan X°​

Mathematics · High School · Thu Feb 04 2021

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Given:  cos x° =Sin (3x +10)

We know, Cos a = Sin b when a + b = 90°

hence, x + 3x + 10 = 90°

4x + 10 = 90°

4x = 90-10

4x = 80

dividing both sides by 4, we get

4x/4 = 80/4

x = 20

 

So, tan 20° = 0.364