Trigonometric Functions and Angles

This video tutorial covers trigonometric functions, focusing on primary and reciprocal ratios, the CAST rule, and the use of calculators for solving trigonometric equations. It also delves into special triangles and finding exact values, providing a comprehensive review for students preparing for grade 12 trigonometry.

What is the sine of an angle in a right triangle if the opposite side is 3 and the hypotenuse is 5?

• 0.75

• 0.6

• 0.8

• 0.5

Which trigonometric function is positive in the third quadrant according to the CAST rule?

• Secant

• Tangent

• Cosine

• Sine

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

• First and Third

• Second and Fourth

• First and Second

• Second and Third

What is the approximate angle if the cosine of the angle is -0.2345?

• 123.6 degrees

• 256.4 degrees

• 76.4 degrees

• 103.6 degrees

For a point (-2, 5) on the terminal arm, what is the sine of the angle?

• -2/sqrt(29)

• -5/sqrt(29)

• 2/sqrt(29)

• 5/sqrt(29)

What is the cosine of 45 degrees using a special triangle?

• sqrt(2)/2

• 1

• sqrt(3)/2

• 1/2

Which angle corresponds to a cosine of -sqrt(3)/2?

• 30 degrees

• 60 degrees

• 150 degrees

• 210 degrees

What is the exact value of the sine of 30 degrees?

• sqrt(2)/2

• 1/2

• sqrt(3)/2

• 1

In which quadrant is the angle 315 degrees located?

• First

• Fourth

• Second

• Third

What is the tangent of 60 degrees using a special triangle?

• 2

• 1/sqrt(3)

• sqrt(3)

• 1