Cos 15 o -sin 15 o cos 15 o -sin 15 o - 1 - 3

cos 15 sin 15cos 15+sin 15 = 1 Tan 151+Tan 15 = Tan(45 15) = Tan 30 = 1√(3) ...

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Sum of Trigonometric Ratios in Terms of Their Product

cos 15 o -sin...

Question

$\frac{cos 15^{o} - sin 15^{o}}{cos 15^{o} + sin 15^{o}} = \frac{1}{\sqrt{3}}$

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Solution

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\frac{cos 15^{o} - sin 15^{o}}{cos 15^{o} + sin 15^{o}} = \frac{1}{\sqrt{3}}

\frac{cos 15^{o} - sin 15^{o}}{cos 15^{o} + sin 15^{o}}

cos 15^{o} - sin 15^{o} = \frac{1}{\sqrt{2}}

\frac{sin 75^{o} + sin 15^{o}}{cos 75^{o} + cos 15^{o}} =

\frac{\sqrt{3}}{sin 15^{o}} - \frac{1}{cos 15^{o}}

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