Maths / Introduction to Trigonometry / Trigonometric ratios for 60 degrees

QUESTION
 

Find the value of :  large frac{cos30^0+sin60^0}{1+sin30^0+cos60^0}

EXPLANATION
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Text

We know that cos30^0=frac{sqrt{3}}{2},sin60^0=frac{sqrt{3}}{2},=frac{1}{2} and cos60^0=frac{1}{2}

therefore       frac{cos30^0+sin60^0}{1+sin30^0+cos60^0}=frac{frac{sqrt{3}}{2}+frac{sqrt{3}}{2}}{1+frac{1}{2}+frac{1}{2}}

                                                    frac{2left ( frac{sqrt{3}}{2} right )}{2}=frac{sqrt{3}}{2}

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