Trigonometric Functions and Right Triangles

This video tutorial covers solving right triangles using trigonometry, emphasizing the importance of exact solutions over approximations to avoid compounding errors. It explains how to label and identify triangle parts, such as the hypotenuse, and how to apply trigonometric functions like sine, cosine, and tangent. The tutorial includes practical examples and a real-life application of measuring a tall object using trigonometry.

What is the primary reason for using the Pythagorean theorem and interior angle sum before trigonometry?

• They are faster to calculate.

• They are less complicated.

• They provide exact answers.

• They are more fun to use.

What is the first step in solving a right triangle using trigonometry?

• Label the hypotenuse.

• Identify the given angle.

• Label the adjacent side.

• Calculate the area.

Why should you avoid using approximations in future calculations?

• They are not allowed in exams.

• They are time-consuming.

• They are difficult to understand.

• They can lead to compounded errors.

Which trigonometric function relates the opposite side to the adjacent side?

• Sine

• Secant

• Cosine

• Tangent

What is the exact answer for the side length 'b' if tangent of 80 degrees is 4 over b?

• 4 * tangent 80 degrees

• 4 / tangent 80 degrees

• 4 + tangent 80 degrees

• tangent 80 degrees / 4

What should you do if you need to find the hypotenuse but have already rounded the adjacent side?

• Use a different trigonometric function.

• Use the Pythagorean theorem.

• Recalculate the adjacent side.

• Use the rounded value anyway.

How do you solve for an angle using the tangent function?

• Use the Pythagorean theorem.

• Use the inverse tangent function.

• Use the cosine function.

• Use the sine function.

What is the approximate value of angle A if tangent of angle A equals 5/3?

• 31.0 degrees

• 59.0 degrees

• 45.0 degrees

• 90.0 degrees

What is the first thing you should do when solving a right triangle in a real-life scenario?

• Label the hypotenuse.

• Find the adjacent side.

• Measure the angles.

• Calculate the area.

If you know the distance from the base and the angle to the top of a volcano, which trigonometric function would you use to find the height?

• Secant

• Tangent

• Cosine

• Sine