Evaluate : `(2sin^2 63^@+1+2sin^2 27^@)/(3 cos ^2 17^@-2+3cos^2 73^@)`

Options

A. `(3)/(2)`
B. `(2)/(3)`
C. 2
D. 3

Answer

D

Explanation

Given expression `=(2(sin^(2)63^(@)+sin^(2)27^(@))+1)/(3(cos^(2)17^(@)+cos^(2)73^(@))-2)=(2(sin^(2)63^(@)+cos^(2)63^(@))+1)/(3(cos^(2)17+sin^(2)17^(@))-2)`
`=((2xx1)+1)/((3xx1)-2)=3. " " |(because sin27^(@)=sin(90^(@)-63^(@))=cos63^(@)),(cos73^(@)=cos(90^(@)-17^(@))=sin17^(@))|`