# Worksheet: Differentiation of Reciprocal Trigonometric Functions

In this worksheet, we will practice finding the derivatives of trigonometric functions, focusing on derivatives of cotangent, secant, and cosecant functions.

Q1:

If , find at .

• A
• B40
• C
• D8

Q2:

Find , given that .

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• D

Q3:

Find if .

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• E

Q4:

If , and , find at .

• A1
• B
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• D

Q5:

Find for the function .

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• D

Q6:

If , find at .

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• B
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• D

Q7:

Find if .

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• E

Q8:

Given that , find .

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• D

Q9:

Find the derivative of the function .

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• D
• E

Q10:

If , find .

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• D

Q11:

Given that , find .

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• D

Q12:

Given that , find .

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• E

Q13:

If , find .

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• E

Q14:

Given that , find .

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• E

Q15:

If , find .

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• D

Q16:

Find , given that .

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• E

Q17:

Given that , find .

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• D

Q18:

Given that , find .

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• D

Q19:

Given that , find .

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• D

Q20:

Differentiate .

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• E

Q21:

If , and , find at .

• A
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• D

Q22:

Find the equation of the tangent to the curve at .

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• D

Q23:

If , find .

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• D

Q24:

Find , given that .

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• D
• E

Q25:

Given , find .

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• D