Exploring the Unit Circle and Circular Functions

This lesson introduces the unit circle and its applications in trigonometry. It covers exact values, quadrant identification, and the use of calculators in radian mode. The lesson also explains solving trigonometric equations using intervals and reference angles, providing tips for successful problem-solving without relying solely on the unit circle.

What is primarily introduced in section 3.3 of the textbook?

• Linear Equations

• Logarithmic Functions

• Unit Circle

• Pythagorean Theorem

Which triangle is likely referenced when discussing exact values in trigonometry?

• Isosceles triangle

• 45-45-90 triangle

• Equilateral triangle

• 30-60-90 triangle

What is the correct way to rationalize the denominator of a fraction like 1 over root 2?

• Subtract root 2

• Add root 2

• Divide by root 2

• Multiply by root 2

What is the sine of 30 degrees in quadrant III?

• 1

• -1/2

• 1/2

• -1

What should the calculator mode be set to when calculating sine of 0.8 without a degree symbol?

• Radian mode

• Scientific mode

• Degree mode

• Gradient mode

In which quadrant would you find the reference angle for an angle measurement of 3 pi over 4?

• Quadrant IV

• Quadrant I

• Quadrant III

• Quadrant II

If the cosine of an angle is negative, in which quadrants could the angle be located?

• III or IV

• I or IV

• II or III

• I or II

How do you convert an angle from degrees to radians?

• Multiply by 180 over pi

• Divide by 180 and multiply by pi

• Multiply by pi over 180

• Divide by pi and multiply by 180

What is the reference angle for an angle of 300 degrees?

• 30 degrees

• 60 degrees

• 45 degrees

• 90 degrees

Which method does the teacher prefer to use over the unit circle?

• Graphical representation

• Other geometric methods

• Algebraic manipulation

• Logarithmic scales