Prove that :
(cosec A - sin A)(sec A - cos A) sec2 A = tan A
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Find A, if 0° ≤ A ≤ 90° and :
(i) 2 cos2 A - 1 = 0
(ii) sin 3A - 1 = 0
(iii) 4 sin2 A - 3 = 0
(iv) cos2 A - cos A = 0
(v) 2 cos2 A + cos A - 1 = 0
Prove the identity (sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θ.