1.

Evaluate: cos45° cos30° + sin45° sin30°

Answer»

On substituting the values of various T-ratios, we get: 

cos45° cos30° + sin45° sin30°

\((\frac{1}{\sqrt2}\times\frac{\sqrt3}2+\frac{1}{\sqrt2}\times\frac{1}2)\) = \((\frac{\sqrt3}{2{\sqrt{2}}}+\frac{1}{2\sqrt{2}})\) = \((\frac{{\sqrt{3}}+1}{2\sqrt{2}})\)



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