Question

PLEASE HELP! I don’t understand. 8 POINTS!

Answer 1

Answer:

Step-by-step explanation:

3√2 sec(x) + 2 = 2√2 sec(x)       Subtract    2√2 sec(x)   from both sides

√2 sec(x)  + 2 = 0                         Subtract 2 from both sides.

√2 sec(x)  = - 2

The secant is related to the cosine. sec(x) = 1/cos(x). The statement tells you that wherever the cos(x) < 0 , the secant will be as will. That means your answer will be in quad 2 and quad 3 and you are to use the appropriate rules for theta in those two quads.

It turns out that you could do this by using the reciprocal of 2

cos-1(- 0.5) = 120 degres. In terms of pi (which is 180 degrees)

120/180 * pi = (2/3) * pi

In quad three you would get pi + pi/3 = 4/3 pi

So your answers are

2/3 pi and 4/3 pi