Question: If cosA = 12/13, find sinA and tanA.

Solution:
Given,

cosA = 12/13

We know,
sinA = 






So, sinA = 5/13

Now,
tanA = 



So, tanA = 5/12

So, the required values of sinA and tanA when cosA = 12/13 are 5/13 and 5/12, respectively.

Explanation:

This is a general question from Class 9 Values of Trigonometric Ratios chapter. It is the basic application of trigonometric ratios, their relations and applications in solving academic questions.

Here, we have been given the value of cos A. Cos is a trigonometric function and A is any angle taken as a reference angle.

To find value of sin A, we have used the identity of sinA = √{1 - cos²A} which is derived from the identity sin²A + cos²A = 1.

To find the value of tan A, we use the trigonometric ratios of tan A = sinA /cosA.

We hope that you have now understood the way to solve this question from trigonometry.

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