### Trigonometry: Solving Trigonometric Equations and Proving Identities

Manipulate trigonometric expressions, sketch graphs of trigonometric functions and solve equations. Find the general solution of the following trigonometric equations: 1.a)cosθcos(pi/6)+sinθsin(pi/6) =0.25 b) 2sin^2 x - 5cosx+ 1 = 0 2. Prove: cos(θ+ pi/4) - sin(θ + pi/4) = 2cos(θ+ pi/4)