Trigonometric Functions and Triangle Properties

This video tutorial covers right triangle trigonometry, including the Pythagorean theorem, common Pythagorean triples, and special right triangles like 45-45-90 and 30-60-90. It explains trigonometric ratios such as sine, cosine, and tangent, and their applications in solving right triangles. The video also discusses complementary angles, cofunctions, and introduces reciprocal trigonometric functions like secant, cosecant, and cotangent.

Which of the following is a Pythagorean triple?

• 9, 40, 42

• 7, 24, 26

• 5, 12, 14

• 6, 8, 10

Tags

CCSS.8.G.B.8

In a 45-45-90 triangle, if one leg is 5, what is the length of the hypotenuse?

• 10√2

• 10

• 5√2

• 5

Tags

CCSS.8.G.B.8

What is the relationship between the sides of a 30-60-90 triangle?

• x, 2x, x√3

• x, x√3, 2x

• x, x, x√2

• x, x√2, 2x

How many 30-60-90 triangles can be found inside a regular hexagon?

• 3

• 12

• 6

• 9

Tags

CCSS.HSG.SRT.C.7

If the sine of an angle is 3/5, what is the cosine of its complement?

• 4/5

• 3/5

• 5/3

• 5/4

Tags

CCSS.HSG.SRT.C.7

What is the cosine of a 60-degree angle?

• 1

• √3/2

• 0

• 1/2

Tags

CCSS.HSG.SRT.C.7

Which trigonometric function is the reciprocal of cosine?

• Secant

• Cosecant

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.7

What is the reciprocal of the sine function?

• Tangent

• Cotangent

• Cosecant

• Secant

Tags

CCSS.HSG.SRT.C.6

In a right triangle, if the tangent of an angle is 3/4, what is the cotangent?

• 5/3

• 4/3

• 3/4

• 1

Tags

CCSS.HSF.TF.A.2

Which of the following is a reciprocal function of tangent?

• Secant

• Cosecant

• Cosine

• Cotangent

Tags

CCSS.HSF.TF.A.2