Trigonometric Functions and Identities

The video tutorial covers the properties of trigonometric functions, including their domains, ranges, and periodicity. It provides examples of calculating trigonometric values and explains the signs of these functions in different quadrants. The tutorial also discusses Pythagorean identities and methods for finding missing trigonometric functions, concluding with a wrap-up of the key concepts.

What is the range of the sine function?

• All real numbers

• Between -1 and 1

• Between 0 and 2

• Between -2 and 2

What is the period of the cosine function?

• π

• 2π

• 3π

• 4π

For which values of x is the tangent function undefined?

• x = 2πk

• x = π/2 + πk

• x = 3π/2 + πk

• x = πk

What is the range of the tangent function?

• Between -π/2 and π/2

• All real numbers

• Between 0 and π

• Between -1 and 1

What is the period of the tangent function?

• π

• 2π

• 4π

• 3π

What is the domain of the cosecant function?

• All real numbers except multiples of π

• All real numbers

• All real numbers except multiples of π/2

• All real numbers except multiples of 2π

What is the range of the secant function?

• All real numbers

• Between -1 and 1

• Negative infinity to -1 and 1 to infinity

• Between 0 and π

What is the period of the secant function?

• 4π

• π

• 2π

• 3π

How do you find the exact value of cosine of 420 degrees using periodicity?

• Subtract 360 degrees

• Add 180 degrees

• Subtract 180 degrees

• Add 360 degrees

What is the exact value of sine of 390 degrees?

• 1/2

• -√3/2

• -1/2

• √3/2