Q) If sin A = , find the values of cos A and tan A

Ans: [Approach: We can calculate the value of cos A by trigonometric identity of sin² A + cos² A = 1, and then calculate tan A = sin A / cos A]

Step 1: Since we know that sin² A + cos² A = 1

given that sin A = =

∴ + cos² A = 1

∴ + cos² A = 1

∴ cos² A = 1 – = =

∴ cos A = =

Step 2: Let’s calculate value of tan A : =  =

= x    =    x    =   

Therefore, the values of cos A is and tan A is .

Please press the “Heart” button if you like the solution.