Solve cos x + √2 = -cos x for x over the interval [0, 2Π)

Step-by-step explanation:

Trigonometric Equations

It's required to solve:

for

Adding cos x:

Subtracting

Dividing by 2:

Solving for x:

We need to find the angles whose cosine is over the given interval.

These angles lie on the quadrants III and IV respectively and they are:

x=135°, x=225°

Converting to radians:

135 * π / 180 = 3π/4

225 * π / 180 = 5π/4

The two solutions are:

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w