Exploring Right Triangle Trigonometry Concepts

This video tutorial explores trigonometry, starting with an introduction to trigonometric functions in the context of a unit circle. It then transitions to right triangle trigonometry, explaining how to label sides as hypotenuse, opposite, and adjacent. The Pythagorean theorem is used to find missing sides, and the concept of co-functions and complementary angles is introduced. The video concludes with practical examples and exercises to reinforce the concepts.

What does the sine function represent in the context of a unit circle?

• The radius over the y-coordinate

• The y-coordinate over the radius

• The x-coordinate over the radius

• The radius over the x-coordinate

In right triangle trigonometry, which side is always labeled first?

• None of the above

• Hypotenuse

• Opposite

• Adjacent

What does the tangent of an angle in a right triangle represent?

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

• Adjacent over hypotenuse

According to the Pythagorean theorem, what is the relationship between the sides of a right triangle?

• All of the above

• Adjacent squared plus opposite squared equals hypotenuse squared

• Hypotenuse squared equals the sum of the squares of the other two sides

• Leg squared plus leg squared equals hypotenuse squared

What is the reciprocal of the cosine function known as?

• Sine

• Cotangent

• Cosecant

• Secant

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

Which of the following is the cofunction of tangent?

• Cotangent

• Sine

• Cosecant

• Secant

If angle A and B are complementary and A = 30 degrees, what is cosine of B equivalent to?

• Sine of 60 degrees

• Cosine of 60 degrees

• Tangent of 60 degrees

• Cotangent of 60 degrees

How can you convert cosine of an angle to its cofunction?

• None of the above

• 90 degrees plus the angle

• 90 degrees minus the angle

• 180 degrees minus the angle

What does the Pythagorean identity state about the sine and cosine of the same angle?

• Their squares sum up to 1

• Their sum is equal to the angle in radians

• Their sum is always 1

• Their product is always 1