Trigonometric Functions and Angles

In this video, Caco explains how to calculate the sine and cosine of angles 150 and 240 degrees using the trigonometric circle. He demonstrates the process by breaking down the angles into known values and applying trigonometric identities. The video also covers the general rules for transforming sine and cosine when dealing with angles relative to 180 and 270 degrees. Caco emphasizes the importance of understanding the signs of sine and cosine in different quadrants and provides a step-by-step guide to solving these problems.

What is the sine of 150 degrees?

• 1/2

• -1/2

• √3/2

• -√3/2

Tags

CCSS.HSF.TF.A.2

What is the cosine of 150 degrees?

• -√3/2

• √3/2

• -1/2

• 1/2

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

In which quadrant is the angle 150 degrees located?

• First

• Second

• Third

• Fourth

Tags

CCSS.HSF.TF.A.2

What is the sine of 240 degrees?

• -√3/2

• √3/2

• -1/2

• 1/2

Tags

CCSS.HSF.TF.A.2

What is the cosine of 240 degrees?

• -√3/2

• √3/2

• -1/2

• 1/2

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

In which quadrant is the angle 240 degrees located?

• Fourth

• First

• Second

• Third

Tags

CCSS.HSF.TF.A.2

What happens to the sine and cosine functions when the angle is relative to 270 degrees?

• Sine becomes cosine and cosine becomes sine

• Sine becomes negative and cosine becomes positive

• Sine and cosine remain the same

• Sine and cosine both become negative

Tags

CCSS.HSF.TF.A.2

What is the cosine of 30 degrees?

• -√3/2

• 1/2

• -1/2

• √3/2

Tags

CCSS.HSF.TF.A.2

What is the sine of 30 degrees?

• √3/2

• -1/2

• 1/2

• -√3/2

Tags

CCSS.HSF.TF.A.4

What is the general rule for sine and cosine transformations when the angle is relative to 90 degrees?

• Sine and cosine both become negative

• Sine becomes negative and cosine becomes positive

• Sine and cosine remain the same

• Sine becomes cosine and cosine becomes sine

Tags

CCSS.HSF.TF.A.4