cos 45^∘30^∘+csc 30^∘ = cos 45^∘30^∘+cosec 30^∘ = 1√(2)π6+2 = 1√(2)π +126= 1√(2)×6π +12= 3√(2)π +12 ...

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Range of Trigonometric Ratios from 0 to 90 Degrees

cos 45 ∘ 30 ∘...

Question

$\frac{cos 45^{\circ}}{30^{\circ} + csc 30^{\circ}}$

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Solution

$\frac{c o s 45^{\circ}}{30^{\circ} + c s c 30^{\circ}}$

$= \frac{c o s 45^{\circ}}{30^{\circ} + c o s e c 30^{\circ}}$

$= \frac{\frac{1}{\sqrt{2}}}{\frac{π}{6} + 2}$

$= \frac{\frac{1}{\sqrt{2}}}{\frac{π + 12}{6}} = \frac{1}{\sqrt{2}} \times \frac{6}{π + 12} = \frac{3 \sqrt{2}}{π + 12}$

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Evaluate: $\frac{cos 45^{\circ}}{sec 30^{\circ} + csc 30^{\circ}}$

Simplify: $cos 45 ° \div (sec 30 ° + cos e c 30 °)$

Simplify:

$\frac{cos 45^{\circ}}{sec 30^{\circ} + cosec 30^{\circ}}$

\frac{cos 45^{\circ}}{sec 30^{\circ} + cosec 30^{\circ}}

\frac{c o s 45^{o}}{s e c 30^{o}} + c o s e c 30^{o}

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