Question

Which of the following is true of the location of the terminal side of an angle 0 who's sine value is 1/2?
0 has a reference angle of 30° and is in quadrant one or two
0 as a reference angle 30° and is in quadrant one or four
0 has a reference angle of 60° and is in quadrant one or two
0 as a reference angle of 60° in is in quadrant one or four

Answer 1

Answer:

A) 0 has a reference angle of 30° and is in quadrant one or two

Step-by-step explanation:

Given :

Terminal side of an angle = 0

Therefore, the terminal side is the x-axis.

sin = 1/2

Sin value is 1/2 when it is 30 degrees.

In the quadrant I and II, the sine value must be positive.

Therefore, the answer is A) 0 has a reference angle of 30° and is in quadrant one or two

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Answer 2

The true statement of the location of the terminal side of an angle is that 0 has a reference angle of 30° and is in Quadrant I or II

What is Standard Position?

It is known to be an angle which is said to be in the same or standard position only when its vertex is seen at the center and one ray is seen in the positive x-axis. The ray seen on the x-axis is known to be the first or initial side and the second or other ray is known to be the terminal side.

Based on the above, the Terminal side of an angle is known as 0

and Sin (theta) =  ½

The Basic angle was given as 30

So we say 180-30 = 150

We say that the terminal side is the x-axis = sin = 1/2

So therefore, Sin as 1/2 only if it is 30 degrees and In the quadrant I and II, the sine value have to be positive value.

Therefore, the option A where 0 has a reference angle of 30° and is in quadrant one or two is correct.

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