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Quiz by Clement Koh, created more than 1 year ago

HEC Test.

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maths
maths_ext1
hec_test
mathematics extension 1
mathematics

	Created by Clement Koh over 8 years ago

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quiz

2016-10-23T00:31:44Z

Trigonometry II Extension 1 Topic Test 4

This is a timed quiz.

You have 18 minutes to complete the 6 questions in this quiz.

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Question 1 of 6

1. a)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
4 sin⁡x cos⁡x+1=0

Select one of the following:

Explanation

Question 2 of 6

1. b)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
cos⁡4x-3 cos⁡2x=1

Select one of the following:

Explanation

Question 3 of 6

1. c)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
cos⁡4θ cos⁡θ+sin⁡4θ sin⁡θ=1/2

Select one of the following:

Explanation

Question 4 of 6

1. d)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
sin⁡3x+sin⁡x=0

Select one of the following:

Explanation

Question 5 of 6

2.
If t=tan⁡〖x/2〗, solve for x between 0^o and 〖360〗^o the trigonometric equation
sec⁡x+4 tan⁡x=3

Select one of the following:

Explanation

Question 6 of 6

3.
Determine the intervals of values of x from 0 to 2π that satisfy the inequation
2 sin⁡2x>-√3 .

Select one of the following:

Explanation

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HEC Test.

Trigonometry II Extension 1 Topic Test 4

Trigonometry II Extension 1 Topic Test 4

Question 1 of 6

1. a) Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations: 4 sin⁡x cos⁡x+1=0

Select one of the following:

Explanation

Question 2 of 6

1. b) Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations: cos⁡4x-3 cos⁡2x=1

Select one of the following:

Explanation

Question 3 of 6

1. c) Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations: cos⁡4θ cos⁡θ+sin⁡4θ sin⁡θ=1/2

Select one of the following:

Explanation

Question 4 of 6

1. d) Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations: sin⁡3x+sin⁡x=0

Select one of the following:

Explanation

Question 5 of 6

2. If t=tan⁡〖x/2〗, solve for x between 0^o and 〖360〗^o the trigonometric equation sec⁡x+4 tan⁡x=3

Select one of the following:

Explanation

Question 6 of 6

3. Determine the intervals of values of x from 0 to 2π that satisfy the inequation 2 sin⁡2x>-√3 .

Select one of the following:

Explanation

1. a)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
4 sin⁡x cos⁡x+1=0

1. b)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
cos⁡4x-3 cos⁡2x=1

1. c)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
cos⁡4θ cos⁡θ+sin⁡4θ sin⁡θ=1/2

1. d)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
sin⁡3x+sin⁡x=0

2.
If t=tan⁡〖x/2〗, solve for x between 0^o and 〖360〗^o the trigonometric equation
sec⁡x+4 tan⁡x=3

3.
Determine the intervals of values of x from 0 to 2π that satisfy the inequation
2 sin⁡2x>-√3 .