Trigonometric Equations 7 - Using Identities

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Xiaodan Leng 5 years, 9 months ago

Created this as a copy of Trigonometric Equations 7 - Using Identities.

Name	Status	Author	Last Modified
Trigonometric Equations 1 - Simple (Degrees)	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 4 - Intermediate (Radians)	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 6 - Complex (Radians)	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 3 - Intermediate (Degrees)	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 5 - Complex (Degrees)	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 2 - Simple (Radians)	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 7 - Using Identities	Ready to use	Katie Lester	01/06/2016 09:47
Trigonometric Equations 2 - Simple (Radians multiple angles0)	Ready to use	steve kilgallon	23/01/2022 10:45
FY001 EXAM 1 Trigonometric Equations 2 - Simple (Radians)	draft	steve kilgallon	30/08/2016 15:13
steve's copy of FY001 EXAM 1 Trigonometric Equations 2 - Simple (Radians)	draft	steve kilgallon	30/08/2016 15:21
Ida Friestad's copy of Trigonometric Equations 7 - Using Identities	draft	Ida Friestad Pedersen	08/11/2016 14:22
Solving trigonometric equations using identities	draft	Simon Thomas	14/02/2019 10:46
Simon's copy of Solving trigonometric equations using identities	draft	Simon Thomas	13/05/2019 13:42
Exam05 - Ttrigonometric Equations	draft	Michael Proudman	07/12/2021 09:54
nuExam05 - Ttrigonometric Equations	draft	Michael Proudman	07/12/2021 09:54
Trigonometric Equations 1 - Simple (Degrees)	draft	Xiaodan Leng	11/07/2019 06:30
Trigonometric Equations 2 - Simple (Radians)	draft	Xiaodan Leng	11/07/2019 06:31
Trigonometric Equations 3 - Intermediate (Degrees)	draft	Xiaodan Leng	11/07/2019 06:31
Trigonometric Equations 4 - Intermediate (Radians)	draft	Xiaodan Leng	11/07/2019 06:32
Trigonometric Equations 5 - Complex (Degrees)	draft	Xiaodan Leng	11/07/2019 06:32
Trigonometric Equations 6 - Complex (Radians)	draft	Xiaodan Leng	11/07/2019 06:33
Trigonometric Equations 7 - Using Identities	draft	Xiaodan Leng	11/07/2019 06:33
T2	Ready to use	Shaheen Charlwood	16/05/2022 14:22
Trigonometric Equations - Simple (Radians)	Ready to use	Shaheen Charlwood	27/10/2022 18:52
Trigonometric Equations - Core (Degrees)	Ready to use	Shaheen Charlwood	27/10/2022 18:52
Trigonometric Equations - Complex (Radians)	Ready to use	Shaheen Charlwood	07/09/2023 15:03

There are 119 other versions that do you not have access to.

Question statement

Solve the following equations in radians, for $\theta$ in the range $0\leq \theta\leq2\pi$ .

Give your answers rounded to 2 decimal places in ascending order.

The square root of $a$ is written as sqrt( $a$ ). $\theta$ is written as theta.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	3
s11	number	1.0471975512
s12	number	4.1887902048

			Name	Type	Generated Value

b	integer	2
c	integer	-18
f2	rational	-9
s22	decimal	dec("infinity") + dec("infinity")*i
s21	decimal	dec("infinity") + dec("infinity")*i
s23	decimal	dec("infinity") + dec("infinity")*i
s24	decimal	dec("infinity") + dec("infinity")*i

			Name	Type	Generated Value

f3	rational	-1/3
s31	decimal	dec("109")
s32	decimal	dec("251")
s33	decimal	dec("469")
s34	decimal	dec("611")

			Name	Type	Generated Value

f4	rational	-6/5
s4	decimal	dec("infinity") + dec("infinity")*i
s41	decimal	dec("infinity") + dec("infinity")*i
s42	decimal	dec("infinity") + dec("infinity")*i
s43	decimal	dec("infinity") + dec("infinity")*i
s44	decimal	dec("infinity") + dec("infinity")*i

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..9)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Mathematical expression
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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Part b) Gap-fill
1. Gap Gap 0. Mathematical expression
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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4. Gap Gap 3. Number entry
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5. Gap Gap 4. Number entry
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Part c) Gap-fill
1. Gap Gap 0. Mathematical expression
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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4. Gap Gap 3. Number entry
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5. Gap Gap 4. Number entry
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Part d) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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3. Gap Gap 2. Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\sin\theta-\sqrt{\var{a}}\cos\theta=0$

$\tan\theta=$ Gap 0.

$\theta=$ Gap 1. or Gap 2.

Advice

Please refer to the advice section of 'Trigonometric Equations 1 - Simple (Degrees)' for help.

You will need to use basic trigonometric identities in this question.

Please see this link if you do not know what these are.

To convert from degrees to radians, multiply by $\frac{\pi}{180}$ .

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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This question is not used in any exams.

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Trigonometric Equations 7 - Using Identities

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Trigonometric Equations 7 - Using Identities

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`