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Chapter 13: Q14. (page 706)

If tan胃=3, find the value of sin胃.

localid="1648455893738" A310B31010C103D13

Short Answer

Expert verified

The value of sin胃=31010.Hence,option (B) is correct.

Step by step solution

01

Step 1. Write down the given information.

It is given that tan胃=3

02

Step 2. Calculation.

Since tan胃=3, therefore construct the triangle ABC having angle C=胃, base BC=1, perpendicular height AB=3and angleB=90掳.

Now, by Pythagoras Theorem,

AC=AB2+BC2=32+12=10

Now in right triangle ABC by trigonometric ratios,

sinC=ABACsin胃=310sin胃=31010

Since, the value of sin胃=31010. Hence, option (B) is correct.

03

Step 3. Conclusion.

The value of sin胃=31010. Hence, option (B) is correct.

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