The numerical value of `(1)/(1+cot^(2)theta)+(3)/(1+tan^(2)theta)+2sin^(2)theta` will

Options

A. 2
B. 5
C. 6
D. 3

Answer

d

Explanation

`(1)/(1+cot^(2)theta)+(3)/(1+tan^(2)theta)+2sin^(2)theta`
`rArr(1)/(co s ec^(2)theta)+(3)/(sec^(2)theta)+2sin^(2)theta`
`rArr3(sin^(2)theta+cos^(2)theta)`
`rArr3(1)rArr3`