Verify the identity sin 2x cot x the double-angle Use the appropriate double-ang

Question

Verify the identity sin 2x cot x the double-angle Use the appropriate double-angle formulas to rewrite the numerator and denominator of the expression on the right. For the denominator, use formula that will produce only one term in the denominator when it is simplified sin 2x 1-cos 2x1 Simplify the denominator. Enter the numerator found in the previous step The expression from the previous step then simplifies to cot x using what? O A. Quotient Identity O B. Reciprocal Identity O C. Pythagorean Identity OD- Even-Odd Identity

Explanation / Answer

Cos2x=(1-2sin^2(x))

1-cos2x=2sin^2(x)

Sin2x= 2sinxcosx

{Sin2x/(1-cos2x)}

=(2sinxcosx)/2sin^2(x)

=cosx/sinx

=cotx

Hence proved

Quotient identity

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