hey how to you solve this problem:

find exact value of cosec(5pi/12):
this is what I did

= 1 / sin( pi/4 + pi/6 )
= 1 / ( sin( pi/4)cos( pi/6 ) + cos( pi/4 )sin( pi/6) )
= 1 / ( (√3/(2√2) )+( (1/(2√2)) )
= 1 / ( (√3+1) / 2√2)

then rationalised and got end answer as 4 / (√6 + √2)

but the answer in the book come as just √6 + √2

Help would be kindly appreciated.

You are correct.

If the book has , then that is incorrect.

I actually get √6 - √2 when I do it. If you rationalize your denominator in
4 / (√6 + √2) you'll see it.

Strange, I'm getting ... :confused:

From

Quote:

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Originally Posted by s_cianci

I actually get √6 - √2 when I do it. If you rationalize your denominator in
4 / (√6 + √2) you'll see it.

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Lol, a minute difference! :p

Those LaTeX codes sure take some time.