Trig identities

Trig identities

I have no idea how to turn this into an algebraic expression, please help ASAP! Please give me tips on how to do this with other trig to algebraic expressions, as I have four problems I am quite...

(sin+1)(sin-1)=cotsin-2cos

I don’t know how to figure out this proof. the only relationship i can think of is tan = sin/cos

If csc(α) = 3, where 0 < α < π/2, and β is a Quadrant II angle with tan(β) = −7, find cos(α+β) And there are others that I'm supposed to find, such as sin(α+β),...

Solve: 2sin2x=cotx , -π ≤ x ≤ 2π

find tan(A+B)

sinΘ⁄ 1+cosΘ + 1+cosΘ/ sinΘ = 2cscΘ

1 + tanΘ / 1 + tanΘ = tanΘ

I know how to solve these when it involves actual angles from the unit circle, but I can't seem to find it for those angles not on the unit circle.

5tanx = 2sinsx solve for interval (0 2π) algebraic means without calculator

cos2x = cosx solve for interval (0 2π) algebraic means without calculator

if cos theta = -2/6 and tan theta < 0, then what are all the other 5 trigonometric ratios tan(theta)= ? sin (theta) =? sec (theta) =? csc (theta) =? cot (theta) =?

5tanx = 2sin2x solve for interval (0 2π) algebraic means without calculator

sin4x - sin2x = 0 solve for interval (0 2π) algebraic means without calculator

sin x- sq root 3 cosx = 0 solve for interval (0 2π) algebraic means without calculator

sin (x/2) = 1- cosx solve for interval (0 2π) algebraic means without a calculator

(sinx+siny)/(cosx-cosy) = -cot(x-y/2) use left as given

sinxcosy = (1/2)(sin(x+y)+sin(x-y)) left side is the given

(1+cosx)/(sinx) + (sinx)/(1+cosx) = 2cscx use left side as given