Verify the identity. cotangent x equals StartFraction 1 plus cosine 2 x Over sine 2 x EndFractioncot x= 1+cos2x sin2x Use the appropriate double-angle formulas to rewrite the numerator and denominator of the expression on the right. For the denominatordenominator, use the double-angle formula that will produce only one term in the denominatordenominator when it is simplified.

Answer with Step-by-step explanation:

We are given that

RHS

We have to verify the identity.

We know that

Using the formula

By using the formula

LHS=RHS

Hence, verified

the distance between point a and point b is 6 units

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are