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Maths-

General

Easy

Question

The value of $cot invisible function application 70 degree plus 4 cos invisible function application 70 degree$ is

$\frac{1}{\sqrt{3}}$
$\sqrt{3}$
$2 \sqrt{3}$
$\frac{1}{2}$

The correct answer is: $square root of 3$

$cot invisible function application 70 degree plus 4 cos invisible function application 70 degree equals fraction numerator cos invisible function application 70 degree plus 4 blank sin invisible function application 70 degree blank cos invisible function application 70 degree over denominator sin invisible function application 70 degree end fraction$
$equals fraction numerator cos invisible function application 70 degree plus 2 blank sin invisible function application 140 degree over denominator sin invisible function application 70 degree end fraction$
$equals fraction numerator cos invisible function application 70 degree plus 2 sin invisible function application open parentheses 180 degree minus 40 degree close parentheses over denominator sin invisible function application 70 degree end fraction$
$equals fraction numerator sin invisible function application 20 degree plus sin invisible function application 40 degree plus sin invisible function application 40 degree over denominator sin invisible function application 70 degree end fraction$
$equals fraction numerator 2 sin invisible function application 30 degree cos invisible function application 10 degree plus sin invisible function application 40 degree over denominator sin invisible function application 70 degree end fraction$
$equals fraction numerator sin invisible function application 80 degree plus sin invisible function application 40 degree over denominator sin invisible function application 70 degree end fraction$
$equals fraction numerator 2 sin invisible function application 60 degree cos invisible function application 20 degree over denominator sin invisible function application 70 degree end fraction equals square root of 3$

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