1.

Evaluate the following:cos45/sec30 + 1/sec60\(\frac{cos45^{\circ}}{sec 30^{\circ}}+\frac1{sec 60^{\circ}}\)

Answer»

\(\frac{cos45^{\circ}}{sec 30^{\circ}}+\frac1{sec 60^{\circ}}\)

⇒ cos 45° cos 30° + cos60°

⇒ \(\frac1{\sqrt2}\times\frac{\sqrt3}2+\frac12\)

\(=\frac{\sqrt3+\sqrt2}{2\sqrt2}\)



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