Trigonometric Equations 1 - Simple (Degrees)

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Katie Lester

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Katie Lester

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Ready to use

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, degrees, simple.

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 degrees, for $x$ in the range $0^\circ\leq x\leq720^\circ$ .

Give your answers correct to the nearest degree in ascending order.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
f1	rational	4/5
s11	decimal	dec("53")
s12	decimal	dec("127")
s13	decimal	dec("413")
s14	decimal	dec("487")

			Name	Type	Generated Value

b	integer	11
c	integer	2
f2	rational	2/11
s22	decimal	dec("280")
s21	decimal	dec("80")
s23	decimal	dec("440")
s24	decimal	dec("640")

			Name	Type	Generated Value

f3	rational	-5/6
s31	decimal	dec("146")
s32	decimal	dec("214")
s33	decimal	dec("506")
s34	decimal	dec("574")

			Name	Type	Generated Value

f4	rational	-2/5
s4	decimal	dec("-24")
s41	decimal	dec("204")
s42	decimal	dec("336")
s43	decimal	dec("564")
s44	decimal	dec("696")

			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
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1. Gap Gap 0. Number entry
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5. Gap Gap 4. Number entry
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Part c) Gap-fill
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Gap-fill

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

$\var{a}\sin(x)=\var{a-1}$

$\sin(x)=$ Gap 0.

$x=$ Gap 1. $^\circ$ , Gap 2. $^\circ$ , Gap 3. $^\circ$ or Gap 4. $^\circ$

Advice

Firstly, isolate the trigonometric function on one side of the equation.

Then perform the appropriate inverse trigonometric function on both sides to find the argument.

Finally, if the argument is an equation or function of the variable you want to find, manipulate your results accordingly.

For example, if the solutions for the argument of $\sin(2x)=a$ , where $a$ is a number or function, were found to be $46^\circ$ and $134^\circ$ within the given range, further operations would be necessary to find the solutions for $x$ .

Here, the first results would be halved and $x$ would therefore be equal to $23^\circ$ and $67^\circ$ .

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 used in the following exam:

graphs by Lyn Armstrong in Lyn's workspace.

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Trigonometric Equations 1 - Simple (Degrees)

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: `integer`

Parts

Gap-fill

Loading...

Error

Trigonometric Equations 1 - Simple (Degrees)

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: integer

Parts

Gap-fill

Generated value: `integer`