Trigonometry Answers

(Sec^2A-4tan^2A)(3-4sin^2A) = (1-4sin^2A)(3-tan^2A). prove it

How do I solve a triangle with only one angle and one side given? it is not a right triangle. is that even possible?

From a window of a building 45 metre above ground level, the angle of depression of a car on level ground is 42 degrees. how far is the car from the building?

If cos p = - 4/5 with p in quadrant 3,
and cos q = 5/13 with q in quadrant 4,
find tan (p - q)

A. 1
B. -63/16
c. 63/16
d. - 33/16

If sinB=3sin(2A+B) Prove that 2tanA+tan(A+B)=0

The function f is such that f(x) = (2sinx)^2-(3cosx)^2 for 0<x<pi
i) express f(x) in the form a+b(cos^2)x stating the values of a and b
ii) state the greatest and least values of f(x)
iii) solve the equation f(x) +1=0

Sum/difference trig problems please help urgent?
1.cos(345)
2.sin(405)
3.sin(10pi/24)
4.tan(-105)
answer has to be in rads please like 2pi/4

Use the given information to calculate the exact value of the expression please help trig?

5.cosx=-√429/25 cosy=3/5 sinx=14/25 siny=4/5
a. find cos(x+y) b. find tan(x-y) c. find sin(x-y)
6. cos a=-12/16 pi/2 ≤ a ≤ pi and sin b= 6/8 pi ≤ 6 ≤ -3pi/2
a. find sin(a-b) b. find cot(a+b) c. find cos(a-b)