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Evaluate: cos45° cos30° + sin45° sin30° |
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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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