Math, asked by garima9cr3, 1 year ago

prove : (tanθ + sinθ + 1)(tanθ - secθ + 1) /tanθ = 2 


Anonymous: I suggest you check the question again.
garima9cr3: actually this ques was in SA1 examination cbse 2014
Anonymous: This means, it should satisfy for every angle in place of theta.
Anonymous: Try theta=45 degrees
Anonymous: You get L.H.S. = 3-√2 which is not equal to R.H.S.
Anonymous: Maybe, it's sec in place of sin.
Anonymous: You get to prove it if there was sec in place of sin
kvnmurty: you are probably right jackie.. so assume that there is sec theta in the numerator in place of sine theta. and answer it
Anonymous: The questioner says it was given in cbse examination
garima9cr3: im so sry ... i consulted my teacher n i came 2 knw that the ques is wrng..!!..sry 4 makin u trouble..

Answers

Answered by Anonymous
0
It is sec instead of sin. Now consider the numerator it can be written as [(tanA+1)+(secA)][(tanA+1)-(secA)] = (1+tanA)²-(secA)²=1+tan²A+2tanA-1-tan²A=2tanA. Hence you have 2tanA/tanA=2.

kvnmurty: you should write clearly each expression on a different line..
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