Trigonometric Functions and Angles

This video tutorial covers evaluating trigonometric functions at various angles, including the use of SOHCAHTOA, reciprocal identities, and special triangles. It explains how to determine trigonometric functions in different quadrants, solve word problems, and understand the unit circle. The tutorial also covers converting between degrees and radians, calculating reference and coterminal angles, and evaluating trigonometric functions without a calculator.

What does the 'S' in SOHCAHTOA stand for?

• Sine

• Square

• Slope

• Secant

If cosine theta is 3/5, what is secant theta?

• 5/3

• 3/5

• 1/3

• 1/5

Which of the following is a special right triangle?

• 5-12-13

• 6-8-10

• 7-24-25

• All of the above

How do you convert 150 degrees to radians?

• 5π/6

• 3π/2

• π/4

• π/3

What is the reference angle for 240 degrees?

• 120 degrees

• 60 degrees

• 30 degrees

• 90 degrees

In which quadrant is sine positive and cosine negative?

• Quadrant III

• Quadrant I

• Quadrant IV

• Quadrant II

What is the value of sine 30 degrees?

• 1/2

• 0

• 1

• √3/2

Which trigonometric function is the reciprocal of tangent?

• Secant

• Cotangent

• Cosine

• Sine

What is the cosine of 60 degrees?

• √3/2

• 1

• 1/2

• 0

How do you find a positive coterminal angle for 30 degrees?

• Add 90

• Subtract 360

• Add 180

• Add 360