Question

If sin x = -(sqrt2)/2)) and cos x = (sqrt2)/2, the measure of angle x is?

a. 45
b. 135
c. 225
d. 315

Answer 1

sin x = -(sqrt2)/2))
cos x = (sqrt2)/2
sin = -ve while cos=+ve
Therefore x is in quadrant IV
tanx = -1
x= 315

Answer 2

Since sin x is negative and cos x is positive, x is in quadrant 4. Only angle 315 is in quadrant 4 so d is the correct answer.

Answer 3

Thank you both.