Question

If sin A=12/13 what is the value of cos A?

Answer 1

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Answer 2

Answer:

cos A = 5/13

Step-by-step explanation:

Given:- The value of sin A = 12/13

To Find:- The value of cos A.

Solution:-

It is given that sin A = 12/13.

According to trigonometric formulas, we know that

                          sin²A + cos²A = 1

From the above given formula, we can write that

( 12/13 )² + cos² A = 1

⇒ 144/169 + cos² A = 1

⇒ cos² A = 1 - 144/169

⇒ cos² A = ( 169 - 144 ) / 169

⇒ cos² A = 25 / 169

⇒ cos A = √ ( 25/169 )

⇒ cos A = √ ( 5²/13² )

⇒ cos A = 5/13

Therefore cos A = 5/13 when sin A = 12/13.

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