Question

Prove that :
Sin²A-sin²B = cos²B - Cos²A​

Answer 1

Step-by-step explanation:

Sin²A - Sin²B

(1-Cos²A)-(1-Cos²B)

1-Cos²A-1+Cos²B = Cos²B - Cos²A

Answer 2

Answer:

we know that:

sin²a+ cos²a=1

to prove:

sin²A-sin²B=cos²A -cos²B

on solving the given equation,we have

sin²A-sin²B =cos²B-cos²A

sin²A+cos²A=cos²B+ sin²B

1=1 (given)

hence proved