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If a cot ⁡ θ + b csc ⁡ θ = p a \cot \theta + b \csc \theta = p a cot θ + b csc θ = p and b cot ⁡ θ + a csc ⁡ θ = q b \cot \theta + a \csc \theta = q b...

SSC SSC CGL Tier 2 Easy Trigonometric Ratios MCQ

Question

If acot⁡θ+bcsc⁡θ=pa \cot \theta + b \csc \theta = p and bcot⁡θ+acsc⁡θ=qb \cot \theta + a \csc \theta = q, then find the value of p2−q2p^2 - q^2.

Options

A.

b2−a2b^2 - a^2

B.

a2−b2a^2 - b^2

C.

b−ab - a

D.

a2+b2a^2 + b^2

trigonometryidentitiescotangentcosecantalgebraic manipulation

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