Question

if A+B=90°then find the value of sin square A+sin square B

Answer 1

Kindly go through the upload i solved it..

Answer 2

sin²A + cos²A = 1

GIVEN: A + B = 90°

TO FIND sin²A + cos²A
SOLUTION: As we are given,

A + B = 90°

Implying that,
B = (90-A)

Using the same value as follows:

sin B

= sin(90-A)

= cosA          

Now using the identity,

sin²A + sin²B

= sin²A + cos²A                  ( replacing the value)

= 1

sin²A + cos²A = 1

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