plant trigonometry?

Question

1. verify the following identities:
a. sin 2x=2 tan x/1+tan2 x

b. sin 2 0/ sin 0 - cos 2 0/cos 0= sec 0

c. sin (x+y) cos (x-y) +cos (x+y) sin (x-y)=sin 2x

d. cos 2x= cot2 x-1/cot2 x+1

2. derive the identity for sin 3x in terms of sin x

3. using the double-angle formula, find sin 120*

4. simplify the following expressions so that they involve a function of only one angle:
A. sin 80*- sin 10*/sin 80*+sin 10*

b. sin 130* + sin 20*/cos 130* + cos 20*

give checks for the following two questions.

5. use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32* 28' 30"

6. use the method explained in Art. 23 to solve the triangle for which the given parts are a=27, b=21, and c=24.

Answer 1

You ask too much, methinks.