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Verify this problem please? 1 + cosx/sinx = csc x + cotx
69.4k views
3 votes
Verify this problem please?

1 + cosx/sinx = csc x + cotx

User VladNeacsu
by
6.1k points

2 Answers

5 votes
let us, do the right-hand-side


\bf csc(x)+cot(x)\qquad \begin{cases} cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)} \\\\ % cosecant csc(\theta)=\cfrac{1}{sin(\theta)} \end{cases}\qquad thus \\\\\\ \cfrac{1}{sin(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{1+cos(x)}{sin(x)} \\\\\\ thus\implies 1+\cfrac{cos(x)}{sin(x)}\\e csc(x)+cot(x)
User Sean Ford
by
5.7k points
3 votes
=1/sin x + cos x/sin x
= csc x + cot x
User Karl Pokus
by
6.1k points
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