The value of `(1)/(sqrt(2))sin((pi)/(6))cos((pi)/(4))-cot((pi)/(3))sec((pi)/(6))+(5tan((pi)/(4)))/(12sin((pi)/(2)))` is equal to

Options

A. 0
B. 1
C. 2
D. `(3)/(2)`

Answer

a

Explanation

`(4)/sqrt(2)sin(pi)/(6)cos(pi)/(4)-cot(pi)/(3)sec(pi)/(6)+(5tan(pi)/(4))/(12sin(pi)/(2))`
`rArr(1)/sqrt(2)+(1)/(2)xx(1)/sqrt(2)-(1)/sqrt(3) xx(2)/sqrt(3)+(5xx1)/(12xx1)`
`rArr(1)/(4)-(2)/(3)+(5)/(12)`
`rAr(3-8+5)/(12)=0`