Q 1: Prove that (1+tanx)^{2} + (1tanx)^{2} = 2 sec^{2}x. Answer:

Q 2: If cos x + sin x = 2^{1/2} cos x, prove that cos x  sin x = 2^{1/2} sin x. Answer:

Q 3: Prove that sin y/(1+cosy) + (1+cos y)/sin y = 2 cosec y Answer:

Q 4: Prove that tan x + cot x = sec x. cosec x Answer:

Q 5: If tan x + sin x = m and tan x  sin x = n, show that m^{2}  n^{2} = 4mn^{1/2} Answer:

Q 6: Prove that sec^{4}x = sec^{2}x = tan^{2}x + tan^{4} Answer:

Q 7: Prove that (1+cot x  cosec x)(1 +tan x + sec x) = 2 Answer:

Q 8: Prove that (sec x + tan x 1)(sec x  tan x + 1)  2 tan x = 0 Answer:

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Question 10: This question is available to subscribers only!

