If tan theta =1/2 and theta is an acute angle ,then prove that 1/2 sin theta cos theta =1/5

If tan theta =1/2 and theta is an acute angle ,then prove that 1/2 sin

1.	If tan theta =1/2 and theta is an acute angle ,then prove that 1/2 sin theta cos theta =1/5
Answer» Sorry....2/10 = 1/5. Tan theta = 1/2 = P/B. Now, by P.T , we get, Hypotenuse = √5. So, Sin theta = 1/√5 and cos theta = 2/√5. LHS = 1/2 sin theta × cos theta. 1/2 × 1/√5 × 2/√5 . 2/10 => 1/2 . Now, LHS = RHS. So, it\'s prove...