Prove that: cos((3pi)/2+x)cos(2pi+x)[cot...

Prove that: `cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1`

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To prove the equation: \[ \cos\left(\frac{3\pi}{2} + x\right) \cos(2\pi + x) \left[\cot\left(\frac{3\pi}{2} - x\right) + \cot(2\pi + x)\right] = 1 \] we will start by simplifying the left-hand side (LHS). ...

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Knowledge Check

What is the value of cos ((3pi)/2+theta)cos (2pi+theta)[cot((3pi)/2-theta)+cot(2pi-:theta)] ?

A

`-1`

B

`2`

C

1

D

`-2`

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