It's trigo time #5

Geometry Level 2

Simplify this expression:

sin ⁡ x + cos ⁡ x cot ⁡ x \large \sin x + \cos x \cot x

This is a part of a set: It's trigo time

csc ⁡ x \csc x cot ⁡ x \cot x sin ⁡ 2 x \sin^2 x sec ⁡ x \sec x tan ⁡ x \tan x

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Syed Hamza Khalid
May 12, 2017

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Damn ! Hamza you are the best

gaindu poorna - 4 years ago

sin ⁡ x + cos ⁡ x cot ⁡ x \sin x+\cos x\cot x

= sin ⁡ x + cos ⁡ x ( cos ⁡ x sin ⁡ x ) =\sin x +\cos x\left(\dfrac{\cos x}{\sin x}\right)

= sin ⁡ x + ( cos ⁡ 2 x sin ⁡ x ) =\sin x + \left(\dfrac{\cos^2 x}{\sin x}\right)

the L C D LCD is sin ⁡ x \sin x

= sin ⁡ 2 x + c o s 2 x sin ⁡ x =\dfrac{\sin^2 x + cos^2 x}{\sin x}

= 1 sin ⁡ x =\dfrac{1}{\sin x}

= csc ⁡ x =\csc x

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...