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The reciprocal sine function is cosecant: $\frac{1}{\csc(x)}=\sin(x)$
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$8\sin\left(x\right)=2+4\sin\left(x\right)$
Learn how to solve differential calculus problems step by step online. Prove that 8sin(x)=2+4/csc(x) is not an identity. The reciprocal sine function is cosecant: \frac{1}{\csc(x)}=\sin(x). Move everything to the left hand side of the equation. Combining like terms 8\sin\left(x\right) and -4\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.