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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

`(2 + sqrt3)/3`

B

`(3 + 4sqrt3)/6`

C

`(9 + 4sqrt3)/6`

D

`(3 +2 sqrt3)/3`

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PINNACLE-SSC MATHS MAINS 2018 TRIGNOMETRY-Exercise
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  9. If 3(cot^(2)∅ - cos^(2)∅) = cos^(2)∅, 0^circ lt ∅ lt 90^circ, then the...

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  10. The value of sqrt((cosec ∅- cot∅)/(cosec∅ + ccot ∅)) ÷ sin∅/(1 + cos ∅...

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  13. If 2cos^(2)θ + 3sinθ = 3, where 0^circ lt θ lt 90^circ, then what is t...

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  14. The value of ((sinθ -cosθ )(1 + tanθ + cotθ ))/(1+sinθ cosθ ) = ? ((...

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  17. The value of ( 1 + cotθ – cosecθ ) ( 1 + cosθ + sinθ )secθ = ? ( 1 + c...

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  18. The value of cosec(67^circ +θ) – sec(23^circ -θ) + cos15^circ cos35^ci...

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