QUESTION 1
For this first question, we need to measure the angle from the positive x-axis up to the terminal side, which is in the second quadrant.
The measure of the angle


The correct answer is A.
QUESTION 2
First let us find the acute angle in the fourth quadrant.
This is given by

This implies that,



The angle in standard position


We measure from the positive x-axis in the anticlockwise direction.
The correct answer is B.
QUESTION 3
Coterminal angles are angles in standard position that have the same terminal side.
To find angles that are coterminal with

We either add or subtract 360°.
Since we want the to be between 0° and 360°, we have to add 360° to get,

The correct answer is A.
QUESTION 4
The acute angle that

makes with the x-axis is 30°.
Since 210 is in the third quadrant, both the sine and cosine ratio are negative.
This implies that,


Using the special angles,


Or


The correct answer is D.
QUESTION 5
The acute angle that 120° makes with the x-axis is 60°.
Since 120° is in the second quadrant, the sine ratio is positive.
This implies that,

Using special angles, the exact value is,

The correct answer is A.