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Exercise

$3\sin\left(2t-\frac{\pi}{4}\right)+4\cos\left(2t\right)$

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Final answer to the exercise

$3\left(\frac{1}{\sqrt{2}}\sin\left(2t\right)+\frac{-1}{\sqrt{2}}\cos\left(2t\right)\right)+4\cos\left(2t\right)$

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$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

$\frac{2+tan^2x}{sec^2x}-1$

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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