Jammmalviz
Answered

trigonometric identities.. what is the solution why  -sinx = (cot x - csc x)(cos x +1) ?

Sagot :

Cheahjimmyviz
(cot x - csc x)(cos x+1)
=( cos x/sin x - 1/sin x)(cos x + 1)      / cot x = cos x/sin x;  csc x = 1/sin x
=( cos x-1)/sin x)(cos x+ 1)
=  (cos² x-1)/sin x          /   ( cos x-1)(cos x+1) =  cos² -1
=  - sin² x/sin x              /  sin² x + cos² x = 1   or   cos² x -1 = -sin² x
=     -sin x
so        (cot x - csc x)(cos x+ 1) =  -sin x








Mgis091498viz
Look at this :D
I'm not actually sure with my answer since we were only taught the basics in trigonometry but I still hope this helps.

View image Mgis091498