Trigonometric Functions in Right Triangles

The video tutorial introduces right triangle trigonometry, focusing on the relationships between sides and angles. It explains the three basic trigonometric ratios: sine, cosine, and tangent. An example problem is solved to find the hypotenuse of a triangle using the sine ratio, demonstrating the application of these concepts in practical scenarios.

What is the primary focus when studying right triangle trigonometry?

• Finding the perimeter of triangles

• Understanding sides and angles

• Measuring the height of triangles

• Calculating the area of triangles

Which side of a right triangle is always opposite the right angle?

• Adjacent side

• Opposite side

• Hypotenuse

• Base

In a right triangle, which side is opposite to the given angle?

• Adjacent side

• Base

• Hypotenuse

• Opposite side

What is the sine of an angle in a right triangle defined as?

• Hypotenuse divided by opposite side

• Opposite side divided by adjacent side

• Opposite side divided by hypotenuse

• Adjacent side divided by hypotenuse

How is the cosine of an angle in a right triangle calculated?

• Opposite side divided by adjacent side

• Opposite side divided by hypotenuse

• Hypotenuse divided by adjacent side

• Adjacent side divided by hypotenuse

What is the tangent of an angle in a right triangle?

• Opposite side divided by hypotenuse

• Adjacent side divided by hypotenuse

• Opposite side divided by adjacent side

• Hypotenuse divided by opposite side

Which trigonometric ratio would you use if you know the opposite side and need to find the hypotenuse?

• Sine

• Tangent

• Cosine

• Secant

In the example problem, what is the angle given in the triangle?

• 30°

• 45°

• 25°

• 60°

What is the length of the opposite side in the example problem?

• 20 ft

• 5 ft

• 10 ft

• 15 ft

What mathematical operation is used to solve for the hypotenuse in the example problem?

• Multiplication

• Addition

• Subtraction

• Division