Question

cos^2 30°.cos^2 45°. sec²60°.cosec²90°​

Answer 1

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Answer 2

⭐Question:-

cos^2 30°.cos^2 45°. sec²60°.cosec²90°

⭐Answer:-

Solution:-

Step-by-step explanation:-

cos^2 30°.cos^2 45°. sec²60°.cosec²90°

By trigonometric ratious we have,

$\cos(30°) = \sqrt{ \frac{3}{2} } \cos(45°) = \sqrt{ \frac{1}{2} } \\ \\ \cos(60°) = \frac{1}{2} \cos(90°) = 0 \\ \\ by \: substituting \: above \: values \: in \: {} \: we \: get$

$( \sqrt{ \frac{3}{2} } ) {}^{2} + \: (\sqrt{ \frac{1}{2} }) {}^{2} + \: ( \: \frac{1}{2} {}) {}^{2} \: + \: (1) {}^{2} \\ \\ \frac{3}{2} \: + \: \frac{1}{2} \: + \: \frac{1}{4} \: = \: 0 \\ \\ 1 \: + \: \frac{1}{2} \: \\ \\ \frac{3}{2}$