Trigonometry Answers

sin[c]+sin[d]

If cos(alpha)+cos(beta)=0=sin(alpha)+sin(beta) then find the value of cos2(alpha)+cos2(beta)

Sin2x+Cos2x=1

[sin(4x) + sin(2x)] / [cos(4x) + cos(2x)] = √(3)

1. Use Demoivre Theorem. Express result in standard form.
(1+i)^7

2.verify:
a)cosx(tang^2x+1)=secx
b)(sinx) / (1-cosx) = (1+cosx) / (sinx)

3. Solve:
a)2sin^2x-sinx-1=0
b)tang^2x-1=0
c)cosx+sqrt(3) = -cosx

if tan(x+π/12)cot(x+ π/12)=λ proof that sin2x-(λ+1)/2(λ-1)......(I PROVED IT)
and then prove that tan(x+π/12)cot(x+ π/12) is not between 1/3 and 3 for any x

prove that : cosA + cos2A = sin3A

Find domain of convergence for series a_n=sin(in)/(z+i)^n

solve cotsquareteta+ 3/sinteta+3 =0
tanteta+tan2teta+tan3teta= tan teta.tan2teta.tan3teta