Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the Pythagorean theorem for finding missing sides of right triangles, properties of special right triangles (45-45-90 and 30-60-90), and the six trigonometric functions (sine, cosine, tangent) along with their reciprocals (cosecant, secant, cotangent). It includes examples and applications of these concepts, emphasizing the importance of special angles in trigonometry.

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 / b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 + c^2

Tags

CCSS.8.G.B.8

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 10 units?

• 10√2 units

• 20 units

• 10 units

• 5√2 units

Tags

CCSS.8.G.B.8

In a 30-60-90 triangle, how is the length of the longer leg related to the shorter leg?

• Longer leg = 2 * Shorter leg

• Longer leg = Shorter leg √2

• Longer leg = Shorter leg / 2

• Longer leg = Shorter leg √3

Tags

CCSS.HSG.CO.C.10

How is the hypotenuse of a 30-60-90 triangle related to the shorter leg?

• Hypotenuse = 2 * Shorter leg

• Hypotenuse = Shorter leg √3

• Hypotenuse = Shorter leg / 2

• Hypotenuse = Shorter leg √2

Tags

CCSS.8.G.B.8

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

• Hypotenuse / Opposite side

• Opposite side / Hypotenuse

• Adjacent side / Hypotenuse

• Opposite side / Adjacent side

Tags

CCSS.HSG.SRT.C.6

What is the reciprocal of cosine?

• Sine

• Cotangent

• Cosecant

• Secant

Tags

CCSS.HSF.TF.A.2

What is the secant of an angle in terms of cosine?

• 1 / Cosine

• Cosine / 1

• 1 / Sine

• Sine / 1

Tags

CCSS.HSG.SRT.C.6

If the cosine of an angle is 2/3, what is the sine of that angle?

• 2 / √5

• 1 / 2

• 3 / 2

• √5 / 3

Tags

CCSS.HSG.SRT.C.7

What is the tangent of 45 degrees?

• 1 / √2

• √2

• 1

• √3 / 2

Tags

CCSS.HSF.TF.A.2

If the adjacent side of a right triangle is 2 units and the hypotenuse is 3 units, what is the length of the opposite side?

• √5 units

• √3 units

• 5 units

• 1 unit

Tags

CCSS.8.G.B.7