Given that cos θ ≈ −0.485, where 2 π < θ < π, find sin θ.

The answer to your question is: sin Ф = -0.8745

Step-by-step explanation:

cos Ф = -0.485              π < Ф < 2π ; 180 < Ф < 360

Cosine is negative in the second and third quadrangle, but we need to find the quadrangle only in the third quadrangle.

cos Ф = adjacent side / hypotenuse

-0.485/ 1 = adjacent side / hypotenuse

adjacent side = -0.485

hypotenuse = 1

- Calculate the opposite side

 c² = a² + b²

 a² = c² - b²

 a² = 1² - (-0.485)²

 a² = 1 - 0.235

 a² = 0.7648

Opposite side =  a = - 0.8745, but is negative in the third quadrangle.

sin Ф = -0.8745 / 1

sin Ф = -0.8745

b) well because you get well

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b