Trigonometry Answers

A ladder with its foot in the street makes an angle of 30 degrees with the street when its top rests on a building on one side of the street and makes an angle of 40 degrees with the street when its to rests on a building on the other side of the street.If the ladder is 50 feet long,how wide is the street?

prove that 4sin^3a.cos3a+4cos^3a.sin3a = 3sin4a

(1+sin2a + cos2a)^2 = 4 cos^2a(1+ sin2a)

prove that sin^3a + cos^3a/sina + cos a = 1-1/2 sin2a

Find the point on the terminal side of theta= -3pi/4 that has an x coordinate of -1. Can you please show me how you solved it as well, not just the answer :).

prove that sina.cos2a = 1/4 sin4a.sec a

tanA+secA-1/tanA-secA+1=1+sinA/cosA

Y=25cos (3.14t/3)+27

What is the frequency of motion in hertz?

Evaluate the given expression, leave the answer in simple radical form. sec60 degrees * tan135 degrees - tan60degrees * cot60

Write each expression in the standard form for a complex number, a + bi.
a. [3(cos(27°)) + isin(27°)]5
b. [2(cos(40°)) + isin(40°)]6

I just really need help