Find the exact value of the cosine and sine of the given angle.

Question

θ=-43π/6

Answer 1

-43π / 6 = (-12π / 6) - (12π / 6) - (7π / 6)

sin -43π / 6 = sin -7π / 6

Can you use the unit circle and answer?

Answer 2

cosθ and sinθ repeat every 2π

cos(-43π/6) = cos(-43π/6 + 8π) = cos(5π/6) = -√3/2

sin(-43π/6) = sin(5π/6) = 1/2