Define the term reference angle and give the equations to find reference angles.

Mathematics

1 answer:

EleoNora [17]3 years ago

6 0

Answer:

the measure of the smallest, positive, acute angle t formed by the terminal side of the angle t and the horizontal axis.

90° to 180°: reference angle = 180° - angle, 180° to 270°: reference angle = angle - 180, 270° to 360°: reference angle = 360° - angle.

if your given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°) your reference angle is your given angle minus 180°. So, if your given angle is 214°, then its reference angle is 214° – 180° = 34°.

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PLEASE HELP WILL GIVE BRAINLIEST Which of the following scale factors will result in an enlargement? A. k < –1 B. –1 < k &

Sergio [31]

Answer: OPTION A.

Step-by-step explanation:

By definition, a dilation can be an enlargement or a reduction of the shape.

An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.

When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.

It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.

Knowing this, we can say that the scale factor that will result in an enlargement is:

$k$