sin x (csc x-sin x) = cos^2 x

Question

anonymous · Answer

Do you know the trigonometric functions?

anonymous · Answer

i dont understand this at all. i cant do math

anonymous · Answer

Ok Ill show you some trigonometric functions to make this breeze.

anonymous · Answer

okay thank you

anonymous · Answer

give me one sec to gather

anonymous · Answer

thats fine

anonymous · Answer

http://www.sosmath.com/trig/Trig5/trig5/trig5.html check out this site, it will give you all the info you need.

anonymous · Answer

You question asks you to solve for 
sin x (csc x-sin x) = cos^2 x
Now lets work out all that is in parenthesis

anonymous · Answer

If you follow the website I gave you, you would know that 
cscx= $$\frac{ 1 }{ sinx }$$ and sinx in return is
sinx= $$\frac{ 1 }{cscx }$$

So Now we have $$\frac{ sinx }{ 1 }(\frac{ 1 }{ sinx}-\frac{ 1 }{ cscx })=\cos^2x$$

anonymous · Answer

I made an error. instead of $$\frac{ sinx }{ 1 }$$

Its 1/cscx Now distribute that to everything in parenthesis. 

You get  sinx^2-1=cosx^2 subtract cosx^2 on both sides.
Then add 1 on both sides.
Your final answer is 

$$sinx^2-cosx^2=1$$


which is an identity.

anonymous · Answer

you are a life saver. thank you!

anonymous · Answer

No Problem!