Understanding Trigonometric Functions

What is the sine of 30 degrees?

• 0.5

• 0.75

• 0.25

• 1.0

What is the cosine of 45 degrees?

• 0.7071

• 1.0

• 0.8660

• 0.5

What is the tangent of 60 degrees?

• √3

• 0

• 1

• √2

Define the unit circle in relation to trigonometric functions.

• The unit circle is defined as a circle with a radius of 2 units.

• The unit circle defines trigonometric functions as the coordinates (cos(θ), sin(θ)) for an angle θ.

• The unit circle represents the area of a triangle formed by the angle θ.

• The unit circle relates to trigonometric functions as the sum of angles.

What is the value of sin(90 degrees)?

• -1

• 1.5

• 0

• 1

How do you convert degrees to radians?

• radians = degrees × (180/π)

• radians = degrees × (π/180)

• radians = degrees ÷ 180

• radians = degrees + 180

What is the Pythagorean identity involving sine and cosine?

• sin²(θ) + cos²(θ) = 0

• sin²(θ) + cos²(θ) = 1

• sin(θ) + cos(θ) = 1

• sin²(θ) - cos²(θ) = 1

What is the period of the sine function?

• 3π

• 2

• 2π

• π

How do you find the inverse of a trigonometric function?

• The inverse of a trigonometric function is found by restricting its domain, swapping input and output, and solving for the new output.

• The inverse is found by taking the derivative of the function.

• You can find the inverse by multiplying the function by -1.

• The inverse is obtained by integrating the function.

What is the relationship between sine and cosine in a right triangle?

• Sine is always greater than cosine in a right triangle.

• Sine and cosine are related through the ratios of the sides of a right triangle and the identity sin(θ) = cos(90° - θ).

• Sine and cosine are the same for all angles in a right triangle.

• The sum of sine and cosine equals the hypotenuse of the triangle.