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3087609
Trigonometry Identities and Anti-Derivatives
Description
Trigonometry Identities and Anti-Derivatives
No tags specified
calculus 1
trigonometry identities
trigonometry antiderivatives
Quiz by
Joel Riggs
, updated more than 1 year ago
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Created by
Joel Riggs
over 9 years ago
50
2
0
Resource summary
Question 1
Question
What is the antiderivative of csc²(kx)?
Answer
-(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
Question
What is the antiderivative of sec²(x)?
Answer
(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
Question
Which is an identity of sin²(x)?
Answer
(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
Question
Which of the following are identities of tan²(x)?
Answer
(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
Question
What is the antiderivative of csc(kx)cot(kx)?
Answer
-(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
Question
What is the antiderivative of sec(kx)tangent(kx)?
Answer
(1/k)sec(kx)+c
-(1/k)sec(kx)+c
(1/k)csc(kx)+c
-(1/k)csc(kx)+c
Question 7
Question
What is the anti-derivative of sin(kx)
Answer
-(1/k)cos(kx)+c
(1/k)cos(kx)+c
(1/k)sin(kx)+c
(1/k)csc(kx)+c
Question 8
Question
Which of the following are identities of cos(2x)?
Answer
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
Question
What is the anti-derivative of cos(kx)
Answer
(1/k)sin(kx)+c
-(1/k)sin(kx)+c
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