1.

The numerical value of `(5)/(sec^(2)theta)+(2)/(1+cot^(2)theta)+3sin^(2)theta` isA. 5B. 2C. 3D. 4

Answer» Correct Answer - a
`(5)/(sec^(2)theta)+(2)/(1+cot^(2)theta)+3sin^(2)theta`
`=5cos^(2)theta+(2)/(co s ec^(2)theta)+3sin^(2)theta`
`=5cos^(2)theta+2sin^(2)theta+3sin^(2)theta`
`=5(cos^(2)theta+sin^(2)theta)`.
`(therefore sin^(2)theta+cos^(2)theta=1)`
=5


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