evaluate the 6 trigonometric ratios if possible of the angle θ. (1- sin=1/2 , cos=- √3/2)

Question

ASTC rule, Use the given values to evaluate the 6 trigonometric ratios if possible of the angle θ. (1- sin=1/2 , cos=- √3/2)

Answer 1

Given 1-sinθ = 1/2

Subtract 1 from each side.

1-1-sinθ = 1/2-1

-Sinθ = -1/2

Sinθ = 1/2

And  Cosθ = -√3/2

We can able to write Opposite side is 1, Adjacent side is -√3 and hypotenuse = 2

Sinθ = 1/2

Cosθ = -√3/2

Tanθ = sinθ/Cosθ = (1/2)/(-√3/2) = -1/√3

Cscθ  = 1/Sinθ = 1/(1/2) = 2/1

Secθ = 1/Cosθ = 1/(-√3/2) = 2/-√3

Cotθ = 1/Tanθ = 1/(-1/√3) = -√3/1