Trigonometric Functions in Right Triangles

This video tutorial covers the basics of right triangle trigonometry, including identifying the sides of a right triangle and defining the sine, cosine, and tangent ratios. It explains how to use these ratios to find missing sides and angles in right triangles, with examples and practice problems to reinforce learning. The tutorial emphasizes the importance of understanding trigonometric concepts and practicing problem-solving skills.

What is the side opposite to the angle in a right triangle called?

• Hypotenuse

• Adjacent

• Base

• Opposite

Which trigonometric ratio is defined as the opposite side over the hypotenuse?

• Sine

• Cosine

• Tangent

• Cotangent

What remains constant in similar triangles with the same angles?

• Side lengths

• Trigonometric ratios

• Area

• Angles

If a right triangle has a hypotenuse of 10 meters and an angle of 30 degrees, which trigonometric function would you use to find the opposite side?

• Sine

• Cosine

• Tangent

• Secant

What is the sine of 30 degrees?

• 0.5

• 0.866

• 0

• 1

Which function would you use to find an angle if you know the adjacent side and the hypotenuse?

• Cosine

• Sine

• Cosecant

• Tangent

What is the cosine of 60 degrees?

• 0.5

• 0.866

• 1

• 0

In a right triangle with a 40-degree angle and an opposite side of 4 meters, which trigonometric function helps find the adjacent side?

• Sine

• Cosine

• Tangent

• Cotangent

If the hypotenuse is 12 meters and one side is 3 meters, what is the angle between them using cosine?

• 75.5 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the primary use of right triangles in physics as mentioned in the video?

• Determining mass

• Measuring angles

• Analyzing velocities and forces

• Calculating areas