Exploring Adding and Subtracting Rational Expressions

The video tutorial covers coterminal angles, explaining how angles like 0 and 360 degrees are coterminal. It then introduces right triangle trigonometry, focusing on the basic concepts of sine, cosine, and tangent, and their reciprocal functions. The tutorial includes an example problem to find trigonometric functions using the Pythagorean theorem. Finally, it discusses special triangles, such as 45-45-90 and 30-60-90, and their trigonometric values, which are essential for understanding the unit circle.

What is a coterminal angle of -820 degrees that is positive and less than 360 degrees?

• 100 degrees

• 280 degrees

• 260 degrees

• 80 degrees

What is the common denominator used when adding and subtracting radians?

• 2

• 3

• 6

• Pi

In a right triangle, what do capital letters represent?

• Sides

• Angles

• Hypotenuse

• Vertices

Which side is opposite angle A in a right triangle?

• Side B

• Side C

• Hypotenuse

• Side A

What is the ratio for the sine function in a right triangle?

• Opposite over Adjacent

• Adjacent over Hypotenuse

• Hypotenuse over Opposite

• Opposite over Hypotenuse

Which trigonometric function is the reciprocal of cosine?

• Secant

• Cosecant

• Cotangent

• Tangent

What is the missing side length in a right triangle with sides 5 and 9 using the Pythagorean theorem?

• √65

• √81

• √56

• √100

What is the tangent of a 45-degree angle in a 45-45-90 triangle?

• 1

• √2

• 1/√2

• √3

In a 30-60-90 triangle, what is the length of the hypotenuse if the shorter leg is 'a'?

• a√2

• a√3

• 2a

• a/2

What is the cosine of a 30-degree angle in a 30-60-90 triangle?

• 1

• √2/2

• √3/2

• 1/2