Question

if tan A-3/4 then sin A cos A
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Answer 1

Answer:

tan A = 3/4

tan A = sin A/cos A

therefore sin A/cos A = 3/4

let sin A be 3x and cos A be 4x

then the third side be 5x by Pythagoras theorem.

therefore sin A cos A = 3x/5x × 4x/5x

= 3/5 × 4/5 = 12/25