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Trignometry

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 Joined: 11 Oct 2008 Post: 3
11 Oct 2008 12:49:47 IST
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cos A - sinA + 1 / cos A + sin A -1 = cosecA + cot A
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Trigonometry

cos A - sinA + 1 / cos A + sin A -1 = cosecA + cot A

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
12 Oct 2008 15:06:38 IST
0 people liked this

hello dear

we have to prove that

(cos A - sinA + 1) /( cos A + sin A -1) = cosecA + cot A

let us take LHS of the obove ;;

(cos A - sin A +1)/(cos A  +  sin A -1)

=  (cos A - (sin A - 1)) / (cos A + (sin A  - 1))

=now rattionalize the obove expression by multiplying numerator and denominator by   (cos A + (sin A  - 1))

solve it, u can easily get the RHS

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