Angles - Trigonometry

Step 1: Define complementary angles.

Complementary angles are two angles that must always add up to 90.

Step 2: Find the other angle:

The sum must be 90, so subtract the given angle from the sum to find the missing angle:

The missing angle is

Step 1: Define Supplementary angles. The answer is in the definition:

Two angles, if they are Supplementary to each other, their sum must equal degrees.

The sum of the angles must be

To find the complementary angle of x, you need to subtract x from 90 degrees.

So, since we are trying to find the complementary angle of 20 degrees, we have:

To find the complementary angle of x, you need to subtract x from 90 degrees.

Since we are trying to find the complementary angle of 68.2 degrees, we have:

Supplementary angles, by definition, add up to .

To find the other angle, you set up the equation

.

Solving the equation gets

.

SInce the given angle is in radians to find the Complementary angle we need to subtract the giving angle from . Hence,

SInce the given angle is in radians to find the Complementary angle we need to subtract the giving angle from . Hence,

Since we are trying to find the supplementary angle of 40 degrees, we have to:

Since we are trying to find the supplementary angle of 92.67 degrees, we have to:

Since the given angle is in radians to find the supplementary angle we need to subtract the giving angle from .

Hence,

Each quadrant represents a change in radians. Therefore, an angle of radians would pass through quadrants , , and end in quadrant . The movement of the angle is in the clockwise direction because it is negative.

Each quadrant represents a change in degrees. Therefore, an angle of radians would pass through quadrants , , , and end in quadrant . The movement of the angle is in the clockwise direction because it is negative.

First we can write:

The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side. When the angle is between and , the angle is a second quadrant angle. Since is between and , it is a second quadrant angle.

The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side. When the angle is between and , the angle is a third quadrant angle. Since is between and , it is a thrid quadrant angle.

First we can convert it to degrees:

The movement of the angle is clockwise because it is negative. So we should start passing through quadrant . Since is between and , it ends in the quadrant .

The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side.

When the angle is more than we can divide the angle by and cut off the whole number part. If we divide by , the integer part would be and the remaining is . Now we should find the quadrant for this angle.

When the angle is between and , the angle is a first quadrant angle. Since is between and , it is a first quadrant angle.

The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side.

When the angle is more than we can divide the angle by and cut off the whole number part. If we divide by , the integer part would be and the remaining is . Now we should find the quadrant for this angle.

When the angle is between and , the angle is a second quadrant angle. Since is between and , it is a second quadrant angle.

First we can convert it to degrees:

When the angle is more than we can divide the angle by and cut off the whole number part. If we divide by , the integer part would be and the remaining is . Now we should find the quadrant for this angle.

When the angle is between and , the angle is a third quadrant angle. Since is between and , it is a third quadrant angle.

The second quadrant contains angles between and , plus those with additional multiples of . The angle is, after subtracting , is simply , which puts it in the second quadrant.