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Which of the following pairs may represent the eccentricities of two conjugate hyperbolas, for `alpha in (0,pi//2)`?

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Which of the following pairs may represent the eccentricities of two conjugate hyperbolas, for `alpha in (0,pi//2)`?
A. `sin theta, cos theta`
B. `tan theta, cot theta`
C. `sec theta, "cosec"theta`
D. `1+sintheta,1+cos theta`
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Correct Answer - C
If `e_(1)` and `e_(2)` are the eccentricities of two conjugate hyperbolas, then
`(1)/(e_(1)^(2))+(1)/(e_(2)^(2))=1`
Therefore, `e_(1)=sec theta and e_(2)="cosec"theta.`
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