If cos ⁡ 27 ∘ = p q \cos 27^\circ = \frac{p}{q} cos 2 7 ∘ = q p ​ , then find the value of csc ⁡ 27 ∘ − cos ⁡ 63 ∘ \csc 27^\circ - \cos 63^\circ csc 2...

Question

If cos27=pq\cos 27^\circ = \frac{p}{q}, then find the value of csc27cos63\csc 27^\circ - \cos 63^\circ.

Options

A.

pqq2p2\frac{p}{q\sqrt{q^2 - p^2}}

B.

p2qq2p2\frac{p^2}{q\sqrt{q^2 - p^2}}

C.

pq2p2q\frac{p\sqrt{q^2 - p^2}}{q}

D.

q2pq2p2\frac{q^2}{p\sqrt{q^2 - p^2}}

trigonometryidentitiescosinecosecantexpression simplification

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