Trigonometry Answers

Find theta for 0 degrees equal or less then theta less then 360 degrees that satisfies the stated condition.

tan theta = -0.6 and sin theta is less then zero

HELLO MADAM, my doubt is, a rhombus has one of its sides as 10cm and one angle as 40 degree. Find the area of the rhombus

if the ration of three sides of a triangle is a:b:c=7:8:9 then show that CosA:CosB:CosC=14:11:16.

2sin45 + 2cos45

If TanA=ptanB then prove that Sin(A+B)=(p+1)(sin(A-B))/(p-1)

I need help with the following proofs.
a.) cos(nθ)=cos((n-2)θ)-2sinθsin((n-1)θ)
b.) (sin(x/2)+sin(x))/(cos(x/2)-cos(x))=cot(x/4)
c.) (sin∝-cos∝+1)/(sin∝+cos∝-1)=(sin∝+1)/cos∝
d.) tan(x/2)=(1-cos(x)+sin(x))/(1+cos(x)+sin(x))

Jezreel owns a triangular residential lot bounded by two streets which intersect at 52 degrees 30'. The sides of the lot along the streets are 16 and 35 meters respectively. Find the length of the fence needed to enclose it.

tan^(-1)⁡x+tan^(-1)⁡y = 1/2 sin^(-1)⁡〖(2(x+y)(1-xy))/((1+x^2 )(1+y^2))〗

length of ramp is 20 ft. find height and base

tan^(-1)⁡ax+1/2 sec^(-1)⁡bx=π/4