Question

1. Find the exact value of tan660 using the functions of 330deg.



2. Solve the equation 2sin^20+5sin0+3=0 on the interval 0<=0<2pi.

Answer 1

tan 660°
= tan 300° , (660 - 360 - 300)
= - tan 60
= -√3/1 = -√3

2sin^2Ø + 5sinØ + 3 = 0
(2sinØ - 1)(sinØ + 3) = 0
sinØ = 1/2 or sinØ = -3, the latter is not possible

if sinØ = 1/2
then Ø = 30° or Ø = 150°
or
Ø = π/6 or Ø = 5π/6

Answer 2

1 7/2 divided by 7 11/12 =