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Question

If sin A=34, then, cos A = x, and tan A = y, which of the following will be correct?
 



Correct Answer
A

x=74

Your Answer
B

y=74

Correct Answer
C

y=37

Your Answer
D

x=37


Solution

The correct options are
A

x=74


C

y=37


Given 
sin A=34

Let us consider ABC with B=90

sin A=BCAC=34

Let BC=3k. AC=4k

From Pythagoras theorem,

AB2+BC2=AC2

AB2+(3k)2=(4k)2

AB2=16k29k2=7k2

AB=7k

cos A=ABAC=7k4k=74

and, tan A=BCAB=3k7k=37

Thus, x=74,and y=37

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