Question

Csc 0 (sin2 0 + cos2 0 tan 0)=sin 0 + cos 0= 1

Answer 1

Okay, here we have this:

Considering the provided expression, we are going to prove the identity, so we obtain the following:

`(csc\theta(sin^2\theta+cos^2\theta tan\theta))/(sin\theta+cos\theta)=1`
`((1)/(sin\vartheta)(sin^2\theta+cos^2\theta(sin\theta)/(cos\theta)))/(sin\theta+cos\theta)=1`
`\frac{(1)/(sin\vartheta)(sin^2\theta+cos\text{ }\theta sin\theta)}{sin\theta+cos\theta}=1`
`\frac{((sin^2\theta)/(sin\theta)+\frac{cos\text{ }\theta sin\theta}{sin\theta})}{sin\theta+cos\theta}=1`
`\frac{(sin\text{ }\theta+cos\text{ }\theta)}{sin\theta+cos\theta}=1`
`(1)/(1)=1`
`1=1`