Trigonometric Functions and Their Applications

This video tutorial on the Tech Math Channel introduces trigonometry, focusing on right angle triangles. It explains how to label triangle sides and introduces the sine, cosine, and tangent functions. The video provides examples of solving trigonometric problems and demonstrates how to find angles using side lengths. The tutorial concludes with encouragement for further learning and subscribing to the channel.

What is the primary focus of trigonometry in relation to right-angle triangles?

• Calculating the area of triangles

• Studying the relationships between sides and angles

• Finding the perimeter of triangles

• Determining the type of triangle

Which side of a right-angle triangle is opposite to the angle Theta?

• Hypotenuse

• Adjacent

• Base

• Opposite

What is the sine function a ratio of?

• Hypotenuse over Opposite

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Opposite over Adjacent

In the first example, what is the unknown side length calculated using the sine function?

• 12 m

• 6.88 m

• 10 m

• 15 m

Which trigonometric function is used in the second example to find the unknown side?

• Secant

• Tangent

• Cosine

• Sine

What is the calculated unknown side length in the second example using the tangent function?

• 10 m

• 1.51 m

• 15 m

• 12 m

What is the inverse function of sine used to find angles?

• cos-1

• tan-1

• sin-1

• sec-1

In the example of finding angles, what is the angle calculated using the inverse sine function?

• 35 degrees

• 18.3 degrees

• 45.1 degrees

• 48 degrees

Which trigonometric function is used to find the angle in the last example?

• Sine

• Cosecant

• Cosine

• Tangent

What is the angle calculated using the inverse cosine function in the last example?

• 18.3 degrees

• 48 degrees

• 35 degrees

• 45.1 degrees