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Question

If tan θ=34, find sin θ.


A

35

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B

45

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C

54

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D

53

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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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