Quick Trigonometric Functions Review

The video tutorial covers the application of trigonometric functions in right triangles. It begins with an introduction to right triangles and the importance of understanding their parts. The tutorial explains how to label triangle sides in relation to a given angle and introduces the trigonometric functions sine, cosine, and tangent. Through examples, it demonstrates how to use these functions to solve for missing sides in triangles, emphasizing the significance of the angle in determining the trigonometric ratios.

What is the primary condition for applying trigonometric functions to a triangle?

• The triangle must have all angles less than 90 degrees.

• The triangle must be equilateral.

• The triangle must be a right triangle.

• The triangle must be isosceles.

Which theorem helps in finding the third side of a right triangle when two sides are known?

• Sine Rule

• Cosine Rule

• Triangle Inequality Theorem

• Pythagorean Theorem

In a right triangle, what is the sine of an angle defined as?

• Adjacent over opposite

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

If angle beta is in a 3-4-5 triangle, what is the cosine of beta?

• 3/4

• 3/5

• 4/5

• 5/4

How does changing the reference angle in a triangle affect trigonometric ratios?

• Only the cosine ratio changes.

• Only the sine ratio changes.

• The ratios change.

• The ratios remain the same.

What trigonometric function would you use to find the hypotenuse if you know the opposite side and an angle?

• Sine

• Cosine

• Tangent

• Secant

In a right triangle with a 14-degree angle and an opposite side of 5, which function helps find the hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

What is the tangent of a 14-degree angle if the opposite side is 5 and the adjacent side is unknown?

• X/5

• 5/X

• Y/5

• 5/Y

When solving for a side in a right triangle, why is it important to ensure your calculator is in degree mode?

• To avoid incorrect trigonometric values

• To prevent errors in side length calculations

• All of the above

• To ensure accurate angle measurements

If you have a right triangle with a 38-degree angle and a hypotenuse of 15, what is the length of the adjacent side?

• 15 * sin(38)

• 15 * cos(38)

• 15 / cos(38)

• 15 / sin(38)