
Understanding the Derivative of Cosecant Function

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What identity is used to express cosecant x in terms of sine x?
Pythagorean identity
Reciprocal identity
Quotient identity
Product identity
Tags
CCSS.HSF.TF.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to find the derivative of 1/sinx?
Power rule
Chain rule
Product rule
Quotient rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the numerator in the quotient rule application?
sin x
1
cos x
0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the denominator sin x^2 rewritten during simplification?
sin x^2
sin^2 x
2sin x
cos^2 x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the derivative after applying the quotient rule?
cos x / sin^2 x
sin x / cos x
cos x / sin x
1 / sin x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression -1/sinx * cosx/sinx related to trigonometric functions?
It represents secant and tangent
It represents sine and cosine
It represents tangent and cotangent
It represents cosecant and cotangent
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for the derivative of cosecant x?
secant x * cotangent x
cosecant x * tangent x
cosecant x * cotangent x
secant x * tangent x
Tags
CCSS.HSF.TF.A.2
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric function is equivalent to 1/sinx?
Cosecant x
Cotangent x
Tangent x
Secant x
Tags
CCSS.HSF.TF.A.2
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