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Cos(A+B)Cos(A-B)

sin30osin45o+...

Question

$\frac{s i n 30^{o}}{s i n 45^{o}} + \frac{t a n 45^{o}}{s e c 60^{o}} - \frac{s i n 60^{o}}{c o t 45^{o}} - \frac{c o s 30^{o}}{s i n 90^{o}}$

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Solution

$\frac{s i n 30^{o}}{s i n 45^{o}} + \frac{t a n 45^{o}}{s e c 60^{o}} - \frac{s i n 60^{o}}{c o t 45^{o}} - \frac{c o s 30^{o}}{s i n 90^{o}} = \frac{\frac{1}{2}}{\frac{1}{\sqrt{2}}} + \frac{1}{2} - \frac{\sqrt{3}}{2 * 1} - \frac{\sqrt{3}}{2 * 1} = \frac{1}{\sqrt{2}} + \frac{1}{2} - \sqrt{3} = 0.707 + 0.5 - 1.732 = - 0.524$

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Cos(A+B)Cos(A-B)

Standard XII Mathematics

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