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

1/4 because there is 4 grades.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).