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Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
Learn how to solve differential calculus problems step by step online.
$1+\sin\left(x\right)^2\frac{-1}{\sin\left(x\right)}=\cos\left(x\right)\cot\left(x\right)$
Learn how to solve differential calculus problems step by step online. Prove that 1-sin(x)^2csc(x)=cos(x)cot(x) is not an identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right)^2. Simplify the fraction \frac{-\sin\left(x\right)^2}{\sin\left(x\right)} by \sin\left(x\right). There is no identity or mathematical rule that allows us to proceed trying to match both sides of the equality, so we conclude that it is not true.