Question
Download Solution PDFFind the value of \({\cos^215^{\circ} - \sin^215^{\circ}} \over{\cos^2145^{\circ} + \sin^2145^{\circ}}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Sin2θ + Cos2θ = 1
Cos 2θ - Sin2θ = Cos2θ
Calculation:
\({\cos^215^{\circ} - \sin^215^{\circ}} \over{\cos^2145^{\circ} + \sin^2145^{\circ}}\)
⇒ Cos (2 ×15°)
⇒ Cos 30° = \(\sqrt3 \over 2\)
∴ The correct option is 3
Last updated on Jul 8, 2025
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