`(cos45)/(sec30+cosec30)` – InterviewSolution

InterviewSolution

1.	`(cos45)/(sec30+cosec30)`
Answer» `(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)`

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