Multiply the single term sin(u)\sin\left(u\right)sin(u) by each term of the polynomial (tan(u)−1+cos(v)−1)\left(\tan\left(u\right)^{-1}+\cos\left(v\right)^{-1}\right)(tan(u)−1+cos(v)−1)
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(sin(x)+cos(x))2\left(\sin\left(x\right)+\cos\left(x\right)\right)^2(sin(x)+cos(x))2
1+cot2x1+cot^2x1+cot2x
tan(x)csc(x)tan\left(x\right)csc\left(x\right)tan(x)csc(x)
tan(x)csc(x)\tan\left(x\right)\csc\left(x\right)tan(x)csc(x)
2+tan2(x)sec2(x)−1\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1sec2(x)2+tan2(x)−1
csc2x−1csc^2x-1csc2x−1
2+tan2xsec2x−1\frac{2+tan^2x}{sec^2x}-1sec2x2+tan2x−1
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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