Question

if SinA=cosA A is an acute angle then find value of A

Answer 1

Given: The equality sin A = cos A

To find: The value of A.

Solution:

• Now we have given that sin A = cos A.

• Also the angle A is acute.

               sin A = cos A

• We can write it as:

               sin A = sin ( 90 - A )

• Cancelling sin from both sides, we get:

               A = 90 - A              

               A + A = 90

               2A = 90

               A = 45°

Answer:

            So the value of A is 45°.