i need help step by step find the exact value of expression

i need help step by step.

find the exact value of expression. do not use a calculator. (using complementary angles theorem)

sin38 - cos52

38 +52=90

So, 52= 90 - 32

Now

Sin38 -cos52 = sin38 - cos(90 - 32)

We know that cos(90 - x) = sin(x)

So, sin38 -cos52 = sin38 - cos(90 - 38) = sin38 - sin38 = 0