Question

10) Prove the following:
i) sin2 A cos2 B + cos2 A sin2 B +
cos2 A cosB + sin2 A sin2 B = 1​

Answer 1

Answer:

Step-by-step explanation:

Sin²ACos²B + Cos²ASin²B+Cos²ACos²B+Sin²ASin²B

= Sin²A(Cos²B + Sin²B) + Cos²A(Sin²B + Cos²B)

= SIn²A + Cos²A  

= 1.

R.H.S

Hence proved.