Question

Find the exact values of the sine, cosine, and tangent of the angle. 11π/12 = 3π/4 + π/6. how will I determine Sin 11π/12, Cos 11π/12, and Tan 11π/12?

Find the exact values of the sine, cosine, and tangent of the angle.
11π/12 = 3π/4 + π/6.
how will I determine
Sin 11π/12, Cos 11π/12, and Tan 11π/12?

Answer 1

`sin (11pi)/6 = (-pi/6 + (12pi/12) = sin ((-pi/6) + pi) =`
`= - sin (-pi/6) = sin pi/6 = 1/2`
`cos ((11p)/12) = cos(-pi/6 + pi) = -cos (-pi/6) =`
`= - cos (pi/6) = -sqrt3/2`
`tan ((11pi)/12) = sin/(cos) = (1/2)(2/-sqrt3) = - 1/sqrt3 = -sqrt3/3`