Solve: (1 + tan A)/sin A + (1 + cot A)/cos A = 2(sec A + cosec A)

(i)
(ii)

Solution:

(i)
L.H.S =

(i) cosec⁶ A – cot⁶ A = 3 cot² A cosec² A + 1
(ii) sec⁶ A – tan⁶ A = 1 + 3 tan² A + 3 tan⁴ A

Solution:

(i) cosec⁶ A – cot⁶ A = 3 cot² A cosec² A + 1
L.H.S = cosec⁶ A – cot⁶ A

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