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Question

If tan θ=34, find:
sin θ
  1. 35
  2. 54
  3. 45
  4. 53


Solution

The correct option is A 35

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
 

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