Find the value of `[(sin^2 2 2^(@)+sin^2 6 8^(@))/(cos^2 2 2^(@)+cos^2 6 8^(@))+sin^2 6 3^(@)+cos6 3^(@)sin2 7^(@)]`

Options

A. 0
B. 1
C. 2
D. 3

Answer

C

Explanation

Given expression `=(sin^(2)22^(@)+sin^(2)(90^(@)-22^(@)))/(cos^(2)22^(@)+cos^(2)(90^(@)-22^(@)))+sin^(2)63^(@)+cos63^(@)sin(90^(@)-63^(@))`
`=(sin^(2)22^(@)+cos^(2)22^(@))/(cos^(2)22^(@)+sin^(2)22^(@))+sin^(2)63^(@)+cos^(2)63^(@)=(1)/(1)+1=1+1=2.`