Exploring Right Triangle Trigonometry in Algebra 2

This video tutorial covers right triangle trigonometry, focusing on the six trigonometric ratios: sine, cosine, tangent, and their reciprocals cosecant, secant, and cotangent. It explains how to identify sides of a triangle relative to an angle and solve for unknown sides using the Pythagorean theorem. The tutorial also discusses special right triangles, such as 30-60-90 and 45-45-90 triangles, and their properties. Example problems are solved to demonstrate the application of trigonometric functions, and real-life scenarios are used to illustrate practical uses of trigonometry.

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

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

• Opposite over hypotenuse

What trigonometric function is defined as adjacent over hypotenuse?

• Cosine

• Secant

• Sine

• Cotangent

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

• 5/4

• 5/3

• 3/5

• 2/5

How do you calculate the hypotenuse if the sides are 3 and 4?

• 3 squared plus 4 squared

• Square root of (3 squared plus 4 squared)

• 3 times 4

• 3 + 4

What is the ratio for tangent in a right triangle?

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

• Opposite over adjacent

In a 30-60-90 triangle, if the shortest leg is 1, what is the hypotenuse?

• 1

• Square root of 3

• 3

• 2

What is the length of the longest leg in a 45-45-90 triangle if each leg is 1?

• 2

• 1

• 1.5

• Square root of 2

How do you find the cosine of an angle in a right triangle?

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Opposite over hypotenuse

• Opposite over adjacent

What is the cosine of an angle if the adjacent side is 7 and the hypotenuse is 10?

• 7/10

• 10/7

• 7/3

• 3/10

Using trigonometry, how can you find the distance across a river if you know the angle and one side length?

• Using secant

• Using tangent

• Using cosine

• Using sine