Derivatives of Trig Identities

Find the derivative of the cosine function.

• cos(x)

• tan(x)

• -sin(x)

• 1/cos(x)

What is the derivative of the tangent function?

• sin(x)

• cos(x)

• sec^2(x)

• csc^2(x)

Calculate the derivative of the secant function.

• sin(x) * cos(x)

• csc(x) * cot(x)

• sec(x) * tan(x)

• cos(x) * tan(x)

Determine the derivative of the cosecant function.

• sin(x)cot(x)

• sec(x)cot(x)

• -csc(x)cot(x)

• -csc(x)tan(x)

Find the derivative of the cotangent function.

• -sec^2(x)

• tan(x)

• sin(x)

• -csc^2(x)

If f(x) = cos(x), what is f'(x)?

• -sin(x)

• 1

• cos(x)

• tan(x)

Tags

CCSS.HSF.TF.A.2

What is the derivative of the tangent function with respect to x?

• cos(x)

• csc^2(x)

• sin(x)

• sec^2(x)

If g(x) = sec(x), what is g'(x)?

• cos(x)tan(x)

• -csc(x)cot(x)

• -sec(x)tan(x)

• -csc(x)

Tags

CCSS.HSF.TF.C.9

Calculate the derivative of the cosecant function at x = π/4.

• 2/√2

• √2

• -√2

• 1/√2

Find the derivative of the cotangent function with respect to x.

• sec^2(x)

• -csc^2(x)

• -cot(x)

• -csc(x)