1.

The numerical value of `(9)/(co s ec^(2)theta)+4cos^(2)theta+(5)/(1+tan^(2)theta)`A. 7B. 9C. 4D. 5

Answer» Correct Answer - b
`(9)/(co s ec^(2)theta)+4cos^(2)theta+(5)/(1+tan^(2)theta)`
`=9sin^(2)theta+4cos^(2)theta+(15)/(1+tan^(2)theta)`
`because (1+tantheta=sec^(2)theta)`
`=9sin^(2)theta+4cos^(2)theta+5cos^(2)theta`
`=9(sin^(2)theta+cos^(2)theta)`
`=9(sin^(2)theta+cos^(2)theta=1)`
=9


Discussion

No Comment Found

Related InterviewSolutions