Trigonometry Identities and Anti-Derivatives

Question 1 of 9

Medal-premium 3

What is the antiderivative of csc²(kx)?

Select one of the following:

  • -(1/k)cot(kx)+c

  • (1/k)cot(kx)+c

  • -(1/k)tangent(kx)+c

  • (1/k)tangent(kx)+c

  • (1/k)sec(kx)+c

  • -(1/k)sec(kx)+c

Question 2 of 9

Medal-premium 3

What is the antiderivative of sec²(x)?

Select one of the following:

  • (1/k)tangent(kx)+c

  • -(1/k)tangent(kx)+c

  • -(1/k)csc(kx)+c

  • (1/k)csc(kx)+c

  • -(1/k)sin(kx)+c

  • (1/k)sin(kx)+c

Question 3 of 9

Medal-premium 3

Which is an identity of sin²(x)?

Select one of the following:

  • (1-cos(2x))*(1/2)

  • (1+cos(2x))*(1/2)

  • cos(x)

  • sin(x)cos(y)+cos(x)sin(y)

  • 2tan(x)/(1-tan²(x))

  • 2sin((x+y)/2)sin((x-y)/2)

Question 4 of 9

Medal-premium 3

Which of the following are identities of tan²(x)?

Select one of the following:

  • (1-cos(2x))/(1+cos(2x))

  • (1+cos(2x))/(1-cos(2x))

  • [tangent(x)+tangent(y)]/[1-tangent(x)tangent(y)]

  • (1/2)*[cos(x+y)+cos(x-y)]

Question 5 of 9

Medal-premium 3

What is the antiderivative of csc(kx)cot(kx)?

Select one of the following:

  • -(1/k)csc(kx)+c

  • (1/k)csc(kx)+c

  • (1/k)[sin(kx)/cos(kx)]+c

  • -(1/k)[sin(kx)/cos(kx)]+c

Question 6 of 9

Medal-premium 3

What is the antiderivative of sec(kx)tangent(kx)?

Select one of the following:

  • (1/k)sec(kx)+c

  • -(1/k)sec(kx)+c

  • (1/k)csc(kx)+c

  • -(1/k)csc(kx)+c

Question 7 of 9

Medal-premium 3

What is the anti-derivative of sin(kx)

Select one of the following:

  • -(1/k)cos(kx)+c

  • (1/k)cos(kx)+c

  • (1/k)sin(kx)+c

  • (1/k)csc(kx)+c

Question 8 of 9

Medal-premium 3

Which of the following are identities of cos(2x)?

Select one or more of the following:

  • cos²(x)-sin²(x)

  • 1-2sin²(x)

  • 2cos²(x)-1

  • 2cos²(x)+1

  • (1-cos(2x))*(1/2)

  • csc²(x)

  • cos(x)cos(y)+sin(x)sin(y)

  • (1-cos(2x))/(1+cos(2x))

  • 2/(cot(x)-tangent(x))

Question 9 of 9

Medal-premium 3

What is the anti-derivative of cos(kx)

Select one of the following:

  • (1/k)sin(kx)+c

  • -(1/k)sin(kx)+c

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Trigonometry Identities and Anti-Derivatives

Joel Riggs
Quiz by , created over 1 year ago

Trigonometry Identities and Anti-Derivatives

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Joel Riggs
Created by Joel Riggs over 1 year ago
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