IDNStudy.com, ang iyong mapagkukunan ng mabilis at eksaktong mga sagot. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

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


Sagot :

(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








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