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opus

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## Homework Statement

Simplify: $$sin^2\left(x\right)+sin^2\left(x\right)tan^2\left(x\right)$$

## Homework Equations

All trigonometric identities.

## The Attempt at a Solution

(i) ##sin^2\left(x\right)+sin^2\left(x\right)tan^2\left(x\right)##

(ii) ##sin^2\left(x\right)+sin^2\left(x\right)⋅\left(\frac{sin^2\left(x\right)}{cos^2\left(x\right)}\right)##

(iii) Multiply both terms by ##\frac{1}{sin^2\left(x\right)}##

(iv) ##1+\frac{sin^2\left(x\right)}{cos^2\left(x\right)}##

(v) ##1+tan^2\left(x\right)##

(vi) ##sec^2\left(x\right)##

Apologies for it looking a little sloppy. Spend some time trying to get the parentheses inside parentheses but kept getting errors.

Would anyone mind pointing out a spot where I made an error?