Trigonometric Equations 6 - Complex (Radians)

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Katie Lester

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Katie Lester

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9 years, 7 months ago

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Katie Lester 9 years, 7 months ago

Gave some feedback: Ready to use

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Katie Lester 9 years, 7 months ago

Created this as a copy of Trig equation, radians, cosine, complex.

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 $0\leq\theta\leq\pi$ :

$\var{b}\cos(3\theta+\var{d})=\var{c}$

Give your final answers correct to 2 decimal places in ascending order.

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	decimal	dec("5.856855434571509596177575384775177662004e-1")
a2	decimal	dec("5.6974997637224350403822424615224822338")
a3	decimal	dec("6.8688708506367369596177575384775177662")
a4	decimal	dec("1.19806850709020210403822424615224822338e+1")
b	integer	6
b1	decimal	dec("3.856855434571509596177575384775177662004e-1")
b2	decimal	dec("5.4974997637224350403822424615224822338")
b3	decimal	dec("6.6688708506367369596177575384775177662")
b4	decimal	dec("1.17806850709020210403822424615224822338e+1")
c	integer	5
c1	decimal	dec("1.285618478190503198725858461591725887334e-1")
c2	decimal	dec("1.832499921240811680127414153840827411267")
c3	decimal	dec("2.222956950212245653205919179492505922067")
c4	decimal	dec("3.9268950236340070134607474871741607446")
d	number	0.2
f	rational	5/6
p	decimal	dec("5.856855434571509596177575384775177662004e-1")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
p

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: `decimal`

dec("5.856855434571509596177575384775177662004e-1")

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
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Part b) Gap-fill
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Part d) Gap-fill
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Gap-fill

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

$\cos(3\theta+\var{d})=$ Unnamed gap

Advice

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

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 6 - Complex (Radians)

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Checkpoint description

Katie Lester 9 years, 7 months ago

Katie Lester 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `decimal`

Parts

Gap-fill

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Error

Trigonometric Equations 6 - Complex (Radians)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Katie Lester 9 years, 7 months ago

Katie Lester 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: decimal

Parts

Gap-fill

Generated value: `decimal`