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Evaluate the expression: ( sin ⁡ θ + csc ⁡ θ ) 2 + ( cos ⁡ θ + sec ⁡ θ ) 2 = ? (\sin \theta + \csc \theta)^2 + (\cos \theta + \sec \theta)^2 = ? ( sin...

SSC SSC CGL Tier 2 Medium Trigonometric Ratios MCQ

Question

Evaluate the expression:

(sin⁡θ+csc⁡θ)2+(cos⁡θ+sec⁡θ)2=?(\sin \theta + \csc \theta)^2 + (\cos \theta + \sec \theta)^2 = ?

Options

A.

5+tan⁡2θ+cot⁡2θ5 + \tan^2 \theta + \cot^2 \theta

B.

7+tan⁡2θ−cot⁡2θ7 + \tan^2 \theta - \cot^2 \theta

C.

7+tan⁡2θ+cot⁡2θ7 + \tan^2 \theta + \cot^2 \theta

D.

5+tan⁡2θ−cot⁡2θ5 + \tan^2 \theta - \cot^2 \theta

trigonometryidentitiessimplificationpythagorean identities

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