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

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

1.	If tan theta =1/2 and theta is an acute angle, then show that 1/2 sin theta into cos theta=1/5
Answer» In ∆ABC , angle C=theta Then, AB=1. BC=2Also. AC=√5(1/2×1/√5)(2/√5)=(1/2√5×2/√5)=1/5