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Suppose theta and phi(!=0) are such that...

Suppose `theta` and `phi(!=0)` are such that `sec(theta+phi)`, `sectheta` and `sec(theta-phi)` are in A.P. If `costheta=kcos(phi/2)` for some k, then k is equal to

A

1) `+-1`

B

2) `+-2`

C

3) `+-sqrt2`

D

4) `+-1/sqrt2`

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