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Plane Trigonometry

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A) Solve the following, giving all positive values of the angle between 0° and 360° to the nearest minute only.

i) cos2x-sin^2 (x/2)+3/4 = 0
ii) .cos4x =sin2x
iii)sin^2 theta = cos^2 theta +3/2
iv)sin(2x-10°)= 1/2
v) sin2x-cosx = 0

B)Write equivalent equations in the form of inverse functions for :

a)x= y+costheta b)cosy = x^2

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