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Question

If sin A=34, then cos A = x and tan A = y.
Choose the correct options.


A

x=74

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B

y=74

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C

y=37

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D

x=37

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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, then AC=4k.

Using Pythagoras theorem, we have

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=74and y=37.


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