Trigonometric Functions and Angles

This video tutorial explains how to use trigonometric functions to determine the measure of an angle in a right triangle. It covers the sine, cosine, and tangent functions, demonstrating how to solve for an angle using each function with examples. The tutorial also shows how to use a calculator to find inverse trigonometric values and convert between degrees and radians.

What is the opposite side in a right triangle with respect to angle theta?

• The side adjacent to theta

• The hypotenuse

• The side opposite the right angle

• The side opposite theta

Which trigonometric function is used when you know the opposite side and hypotenuse?

• Cosine

• Secant

• Tangent

• Sine

What is the approximate value of theta in degrees when sin(theta) = 10/27?

• 21.7 degrees

• 33.6 degrees

• 11.3 degrees

• 45 degrees

How do you convert an angle from degrees to radians?

• Subtract 180

• Add 180

• Multiply by pi/180

• Multiply by 180/pi

Which sides are involved in the cosine function?

• Hypotenuse and opposite

• Opposite and adjacent

• Adjacent and hypotenuse

• Opposite and hypotenuse

What is the approximate value of theta in degrees when cos(theta) = 35/42?

• 45 degrees

• 21.7 degrees

• 33.6 degrees

• 11.3 degrees

Which trigonometric function is used when you know the opposite side and adjacent side?

• Cosine

• Tangent

• Sine

• Cosecant

What is the approximate value of theta in degrees when tan(theta) = 5/25?

• 21.7 degrees

• 45 degrees

• 33.6 degrees

• 11.3 degrees

What is the adjacent side in a right triangle with respect to angle theta?

• The side opposite theta

• The side opposite the right angle

• The side adjacent to theta

• The hypotenuse

What is the inverse function of sine used for?

• Finding the length of the hypotenuse

• Finding the angle given the sine value

• Finding the length of the opposite side

• Finding the length of the adjacent side