ANSWER
EXPLANATION
The given trigonometric equation is
We factor cos(x) to get:
Apply the zero product property to obtain:
Using the unit circle,
when
and
We know
when
The sine function is negative in the third and fourth quadrants.
Hence the solutions are:
The <em><u>correct answers</u></em> are:
90°, 180° and 270°
Explanation:
Squares have rotational symmetry at 90°. This can be found by dividing the number of degrees in a circle, 360, by the number of sides, 4:
360/4 = 90
This means that at all multiples of 90, the square will rotate onto itself. This means that 90, 180 and 270 are all correct.