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If (sin^2 phi+3sin phi+2)/(cos^2 phi)=1,...

If `(sin^2 phi+3sin phi+2)/(cos^2 phi)=1`, where `-90^@< phi <90^@`, then what is the value of `(cos 2 phi+sin3 phi+cosec2 phi)` ?

A

`(3+4sqrt(3))/(6)`

B

`(2+sqrt(3))/(3)`

C

`(3+2sqrt(3))/(3)`

D

`(9+4sqrt(3))/(6)`

Text Solution

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The correct Answer is:
D
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