Trigonometric Functions and Angles

The video tutorial explains how to find angles in triangles using trigonometric ratios. It covers setting calculators to degree mode and demonstrates calculating angles using sine, cosine, and tangent functions. The tutorial provides step-by-step instructions for each method, including using inverse trigonometric functions to find the angles. Viewers are encouraged to practice with a given example.

What mode should your calculator be set to when finding angles in degrees?

• Scientific mode

• Radian mode

• Gradient mode

• Degree mode

If the opposite side is 7 and the hypotenuse is 12, which trigonometric function should be used to find the angle?

• Secant

• Cosine

• Sine

• Tangent

What is the approximate angle in degrees when the sine of the angle is 7/12?

• 30.5 degrees

• 40.2 degrees

• 45.0 degrees

• 35.7 degrees

Which trigonometric function is used when you have the adjacent side and hypotenuse?

• Cosine

• Tangent

• Sine

• Cosecant

What is the angle in degrees when the cosine of the angle is 5/13?

• 60.0 degrees

• 67.4 degrees

• 70.5 degrees

• 55.2 degrees

Which trigonometric function should be used when given the opposite and adjacent sides?

• Sine

• Cotangent

• Cosine

• Tangent

What is the tangent of angle z if the opposite side is 12 and the adjacent side is 17?

• 12/17

• 7/12

• 5/13

• 17/12

What is the approximate angle in degrees when the tangent of the angle is 12/17?

• 40.0 degrees

• 35.2 degrees

• 45.0 degrees

• 30.0 degrees

What is the inverse function used to find an angle from a tangent ratio?

• Inverse sine

• Inverse cosine

• Inverse tangent

• Inverse secant

If you have an opposite side of 12 and an adjacent side of 17, what is the angle in degrees?

• 35.2 degrees

• 40.5 degrees

• 30.0 degrees

• 45.0 degrees