`(cos45^(@))/(sec30^(@)+"cosec"30^(@))=(cos45^(@))/(sec30^(@)+"cosec"30^(@))=(1/(sqrt(2)))/(2/sqrt(3)+2)=(1/(sqrt(2)))/(((2+2sqrt(3)))/(sqrt(3)))`
`=(1)/(sqrt(2))xx(sqrt(3))/(2(sqrt(3)+1))= (sqrt(3)(sqrt(3)-1))/(2sqrt(2)(sqrt(3)+1)(sqrt(3)-1))`
`=(sqrt(6)(sqrt(3)-1))/(4(3-1))=(sqrt(6)(sqrt(3)-1))/(8)`