Evaluate: 2 45° - 2 45°/ 2 45°

CBSE Class 10 Maths PYQ · Trigonometry · Specific Angles Expression · 1 Mark · March 2024 · Standard

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341 Mark · March 2024 · Standard
Evaluate: $\frac{\sec^2 45^\circ - \tan^2 45^\circ}{\sin^2 45^\circ}$
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$\frac{\sec^2 45^\circ - \tan^2 45^\circ}{\sin^2 45^\circ} = \frac{(\sqrt{2})^2-(1)^2}{\left(\frac{1}{\sqrt{2}}\right)^2} = \frac{2-1}{\frac{1}{2}} = 2$
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