Trigonometry Answers

Write in terms of sin and cos and simplify.

cot(theta)/(csc(theta)-sin(theta))

An observer stands 120 feet away from a church and measures the angles of elevation of the top and bottom of the steeple to be 24.4 degrees and 18.2 degrees respectivel. What is the height of the steeple to the nearest foot??

What is the nature of Trigonometry? Practical Application of Trigonometry?

Find the general form of the solutions of the equation x such that sin x = cos 5x

Example: for the equation tanx=1, the solutions can be described by x = pi/4 + n*pi, n is an integer.

Find the general form of the solution of the equation x such that sin x = cos5x. Example: for the equation tan x=1, the solutions can be described by x = pi/4 + n*pi, nEZ

A cone has a slant side measure (m) and a semi-vertical angle 2(x). Prove that the measure r of the radius of the sphere inscribed in the cone is given by:
r = (m sin(4x))/2(1+sin(2x))

Find all values of x for which 2sin(x) = sqrt(4+2sqrt3 cos(x))

I can not do this question, please help. For any triangle ABC, prove that c^2=(a+b)^2[1-k^2cos(1/2)C].

Prove that in any triangle ABC sin1/2(B-C)=((b-c)/a)cos1/2A.

I don't know how to prove that:
2(sin6+cos6)-3(sin4+cos4-1)=0