In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x =-0.4226
Give your answers to the nearest degree.

Respuesta :

Answer:

The value of x within the interval are 115° and 245°

Step-by-step explanation:

Given the trigonometric equation;

cos x =-0.4226

To get the value of x within the range 0° < x < 360°, we need to take the arc cosine of the value as shown;

x = arccos -0.4226

x = 114.99°

x ≈ 115°

Since x is positive in the 4th quadrant, the value of x can also be 360 - [tex]\theta[/tex]

where [tex]\theta = 115^{o}[/tex]

x2 = 360°-115°

x2 = 245°

The value of x within the interval are 115° and 245°

Answer:

The value of x within the interval are 115° and 245°

Step-by-step explanation: