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

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

• 10√2

• 10

• 5√2

• 5

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

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

• 4/5

• 3/5

• 5/3

• 5/4

What is the cosine of a 60-degree angle?

• 1

• √3/2

• 0

• 1/2

Which trigonometric function is the reciprocal of cosine?

• Secant

• Cosecant

• Tangent

• Cotangent

What is the reciprocal of the sine function?

• Tangent

• Cotangent

• Cosecant

• Secant

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

• 5/3

• 4/3

• 3/4

• 1

Which of the following is a reciprocal function of tangent?

• Secant

• Cosecant

• Cosine

• Cotangent