Question

A is an acute angle and 13 sin A=5 ; evalute
5 sin A -2 cos A / 2 tan A

Answer 1

13sinA = 5

sinA = 5/13

sin²A + cos²A = 1

cos²A = 1 - sin²A

cos²A = 1 - 25/169 = (169-25)/169 = 144/169

cosA = 12/13

tanA = sinA/cosA = (5/13)/(12/13) = 5/12

5sinA = 25/13

2cosA = 24/13

2tanA = 5/6

(5sinA - 2cosA)/2tanA = (25/13 - 24/13) / (5/6) = (1/13)/(5/6) = 6/65

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Answer 2

Hi bro,

Here is your answer as an attachment above.

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