Question

Determine an exact value for sin _
3π/4-tan 5π/6

Answer 1

`(3√(2)+2√(3))/(6)` or
`(√(2))/(2)+(√(3))/(3)`

Explanation:

`\sin(3\pi)/(4)-\tan(5\pi)/(6)\\\\\sin(3\pi)/(4)-(\sin(5\pi)/(6))/(\cos(5\pi)/(6))\\ \\(√(2))/(2)-((1)/(2) )/(-(√(3))/(2))\\ \\(√(2))/(2)+(1)/(√(3))\\ \\(√(2))/(2)+(√(3))/(3)\\ \\(3√(2))/(6)+(2√(3))/(6)\\ \\(3√(2)+2√(3))/(6)`