Trigonometric Functions and Right Triangles

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 additional resources and encourages viewers to like, subscribe, and support the channel.

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

• Finding the volume of a 3D shape

• Calculating the area of the triangle

• Determining the perimeter of the triangle

• Studying the relationships between the sides and angles

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

• Adjacent

• Opposite

• Base

• Hypotenuse

What is the sine function a ratio of in a right-angled triangle?

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

• Opposite over hypotenuse

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

• 6.88 m

• 0.57

• 12 m

• 35°

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

• Sine

• Cosine

• Tangent

• Secant

In the second example, what is the calculated value of the unknown side using the tangent function?

• 1.11

• 15 m

• 1.51 m

• 48°

What is the purpose of using the inverse trigonometric function in the third example?

• To find the hypotenuse

• To find the length of a side

• To calculate the area of the triangle

• To determine the unknown angle

In the third example, what is the unknown angle calculated using the sine function?

• 0.314

• 33°

• 18.3°

• 105°

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

• Cotangent

• Cosine

• Tangent

• Sine

What is the calculated angle in the final example using the cosine function?

• 12°

• 45.1°

• 0.71

• 17°