Trigonometric Functions and Angles

This video tutorial explains how to find the exact values of trigonometric functions using special triangles and the concept of reference angles. It covers the 30-60-90 and 45-45-90 triangles, and the use of sohcahtoa for sine, cosine, and tangent calculations. The tutorial includes examples such as sine of 30 degrees, cosine of 5π/6, tangent of π/6, cosine of 240 degrees, tangent of -45 degrees, and sine of 10π/3, demonstrating the conversion between radians and degrees, and the use of coterminal angles.

Which of the following is the hypotenuse in a 30-60-90 triangle?

• √3

• 1

• 2

• √2

What is the sine of 30 degrees?

• 1

• 1/2

• √3/2

• √2/2

How do you convert radians to degrees?

• Add 180

• Multiply by 180/π

• Multiply by π/180

• Subtract 180

What is the cosine of 150 degrees?

• 1/2

• √3/2

• -1/2

• -√3/2

What is the tangent of π/6 after rationalizing the denominator?

• 1/√3

• √3

• √3/3

• 3/√3

In which quadrant is the angle 240 degrees located?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the cosine of 240 degrees?

• √3/2

• 1/2

• -√3/2

• -1/2

How do you find a coterminal angle for an angle greater than 360 degrees?

• Multiply by 360

• Divide by 360

• Subtract 360

• Add 360

What is the sine of 600 degrees?

• -√3/2

• √3/2

• 1/2

• -1/2

What is the reference angle for 600 degrees?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees