First slide

Trigonometric Identities

Question

_{$\frac{\sin (- 660^{0}) \tan (1050^{0}) \sec (- 420^{0})}{\cos (225^{0}) cosec (315) \cos (510^{0})}$}

Moderate

A

_{$\frac{\sqrt{3}}{4}$}
B

_{$\frac{\sqrt{3}}{2}$}
C

_{$\frac{2}{\sqrt{3}}$}
D

_{$\frac{4}{\sqrt{3}}$}

Solution

$\frac{\frac{\sqrt{3}}{2} \times \frac{- 1}{\sqrt{3}} \times 2}{\frac{- 1}{\sqrt{2}} \times - \sqrt{2} \times \frac{- \sqrt{3}}{2}} = \frac{- 1}{\frac{- \sqrt{3}}{2}} = \frac{2}{\sqrt{3}}$

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