Find all values for n the interval 00 360 for the following

Find all values for n the interval [00, 360) for the following functions. f sec x = -2/sqrt(3) ??, cot x = sqrt(2)

Solution

sec x= -2/sqrt(3)

cos x = - sqrt(3) / 2

so,

x will be either is second or third quadrat.

y = 30 if cos y = sqrt(3)/2

so,

x = 180-30 or 180+30

x = 150 or 210 deg

2.

cot x = sqrt(2)

so, x will be either first of thid quadrant

tan x = 1/sqrt(2)

x = 54.73 or 180 + 54.73

x = 54.73 or 234.73 deg.