# Trigonometry Identities and Anti-Derivatives

Quiz by Joel Riggs, updated more than 1 year ago
 Created by Joel Riggs over 5 years ago
31
2

### Description

Trigonometry Identities and Anti-Derivatives

## Resource summary

### Question 1

Question
What is the antiderivative of csc²(kx)?
• -(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)?
• (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)?
• (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)?
• (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)?
• -(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)?
• (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)
• -(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)?
• 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)
• (1/k)sin(kx)+c
• -(1/k)sin(kx)+c

### Similar

Maths C4 Trig formulae (OCR MEI)
Calculus I
Trigonometry
C3 Trigonometric Identities
Exact Values
Law of Sines, Law of Cosines, and Area
Math 30-1 - Trig - Unit circle and angles
Solve the Right Triangle with Trig
Derivatives of Trig Functions
Trigonometery
Reciprocal Identities