When 0° < θ < 90°, solve the following equations:

When 0° < θ < 90°, solve the following equations:
(i) 2 cos² θ + sin θ – 2 = 0
(ii) 3 cos θ = 2 sin² θ
(iii) sec² θ – 2 tan θ = 0
(iv) tan² θ = 3 (sec θ – 1).

Solution:

0° < θ < 90°
(i) 2 cos² θ + sin θ – 2 = 0

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