Trigonometric Functions

What is the trigonometric function that represents the ratio of the adjacent side to the hypotenuse in a right triangle?

• sine

• cosine

• tangent

• secant

Which trigonometric function is equal to the reciprocal of the sine function?

• csc(x)

• cot(x)

• tan(x)

• sec(x)

In a right triangle, what is the trigonometric function that represents the ratio of the opposite side to the hypotenuse?

• secant

• cosine

• tangent

• sine

What is the range of values for the cosine function?

• -1 < cos(x) < 1

• cos(x) > 1

• cos(x) < -1

• -1 ≤ cos(x) ≤ 1

What is the period of the tangent function?

• 2π

• 0

• π

• 3π

What is the relationship between the sine and cosine functions?

• The relationship between the sine and cosine functions is defined by the Pythagorean identity: sin^2(theta) + cos^2(theta) = 1.

• The sine function is the derivative of the cosine function.

• The cosine function is the reciprocal of the sine function.

• The sine function is always greater than the cosine function.

What is the value of the secant function at 0 degrees?

• 2

• 0

• 3

• 1

What is the derivative of the sine function?

• tan(x)

• sin(x)

• cos(x)

• 1/cos(x)

What is the amplitude of the cosine function?

• Reciprocal of the coefficient of the cosine term

• Square root of the coefficient of the cosine term

• Absolute value of the coefficient of the cosine term

• Sum of the coefficients of the cosine term

What is the value of the cotangent function at 90 degrees?

• 2

• undefined

• 1

• 0