lkjs
Nov 14, 2009, 03:16 AM
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.
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.