Question

given sec A = 13/12 then find the value of sin A ​

Answer 1

Given:

$\sec A = \frac{13}{12}$

To find :

Value of sin A

Solution:

As we know that,

sec A = 1/cos A

So,

sec A = 13/12 = 1/cos A

=> cos A = 12/13

Also,

cos A = sin (90° - A)

therefore,

=> sin( 90°- 12/13)

=> sin 1058/13

=> sin 81.38

Hence, value of sin A = 81.38