Question
Download Solution PDFSolve the given expression.
\(\frac{\sec ^2\left(90^{\circ}-\theta\right)-\cot ^2 \theta}{2\left(\sin ^2 35^{\circ}+\sin ^2 55^{\circ}\right)}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
\(\frac{\sec ^2\left(90^{\circ}-θ\right)-\cot ^2 θ}{2\left(\sin ^2 35^{\circ}+\sin ^2 55^{\circ}\right)}\)
⇒ (cosec2 θ - cot2θ) / 2( (sin235° + cos235°)
⇒ 1 /2 = 0.5
∴ The correct option is 0.5
Last updated on Jun 25, 2025
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