The value of `sin^(2)22^(@)+sin^(2)68^(@)+cot^(2)30^(@)` is

Options

A. 43589
B. 43528
C. 3
D. 4

Answer

d

Explanation

Given
`rArrsin^(2)22^(@)+sin68^(@)+cot^(2)30^(@)`
`rArrcos^(2)68^(@)+sin^(2)68^(@)+cot^(2)30^(@)`
`{sin(90-theta)costheta cos (90-theta)=sin theta}`
`rArr1+cot^(2)30^(@)`
`rArr1+(sqrt(3))^(2)[becausecot30^(@)=sqrt(3)]`
`rarr4`