Question

Solve this question.....?

Answer 1

Given,

$\frac{\cos(60)+\sin(60) }{\cos(60) -\sin(60) } = x$

x is ?

I have taken it to be equal to x.

To find,

x

Main solution. :

We know ,

$\cos(60)= \frac{1}{2}$

$\sin(60) =\frac{ \sqrt{3} }{2}$

These values are taken from the trigonometric table.

Angle 0°, 30°, 45°, 60°,90° are called standard angles.

Substituting these values on the given expressio :

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

LCM in numerator and denominator is equal to 2

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

1/2 and 1/2 will get cancelled from numerator and denominator as they are common.

We get :

$\frac{ \sqrt{3} + 1 }{\sqrt{3}-1 }$

We know √3 = 1.73 ( approx.)

Putting this value ,

$\frac{1.73 + 1}{1.73 - 1}$

$\frac{2.73}{0.73}$

$3.739 \: (approx)$

Answer :- 3.739 ( approx.)