If tan θ=34, find sin θ.
35
45
54
53
ΔABC is right angled at B, Given tan θ=34. tan θ=ABBC Let AB=3k and BC=4k Applying Pythagoras theorem, we have AB2+BC2=AC2 AC2=(3k)2+(4k)2 AC2=25k2 AC=5k ⟹AB:BC:AC=3:4:5 ⟹sinθ=ABAC=35