Trigonometry Need someone to do my Trigonometry assignment Engineering Maths. Level 4

Assignment Brief Cover Sheet

Higher International Certificate (Eduqual Level 4)

(Core to All Engineering Courses)

Learner Name:

Assignment Title:

Assignment 2 – Trigonometry

Assignment Reference:

Unit Title(s): Engineering Maths

Date issued to learner: N/A Hand-in Deadline: N/A

Actual date submitted: DD/MM/YYYY

Name of Assessor(s):

Note to Learners

Please ensure that you: 1) Provide your full name in the box given above; and 2) sign off

the Learner Statement provided at the end of this assignment brief cover sheet

Learning

Outcome

Performance Criteria

By completing this unit,

the learner can:

Feedback

Evidence presented

against the

published criteria

Assessor’s

Mark

Internal Quality

Assurance

LO2

The learner will

understand the

principles of

trigonometry.

2.1

solve

exponential and

trigonometric

problems

2.2 analyse

geometric

problems

involving non

right-angled

triangles to

determine

solutions

Engineering Maths. Level 4

2.3 select and apply

appropriate

formulae to find

areas, surface

areas and

volumes of

typical

engineering

problems

2.4

(M)

determine

solutions to

trigonometric

equations

2.5

(D)

demonstrate an

appreciation of

how

trigonometric

waveforms can

be applied to

engineering

scenarios

[Repeat rows and columns as necessary for each additional Learning Outcome]

Assessor’s additional feedback and comments:

Assessment Decision

Pass ☐ Merit ☐ Distinction ☐

Further work to be done ☐

Assessor Declaration

I confirm that the work submitted for this assignment was checked against valid Turnitin

Engineering Maths. Level 4

anti-plagiarism software, and the receipt for this check is attached.

Assessor’s Signature

Date (DD/MM/YYYY)

Internal Quality Assurer (IQA) feedback and comment for Assessor:

IQA’s Name

IQA’s Signature

Date (DD/MM/YYYY)

Learner Declaration

To protect the integrity and reputation of its qualifications, requires that the work produced

by each learner is authentic (i.e. is the learner’s own work). Please sign the authenticity

statement below to confirm the work as your own. In so doing, you are confirming that

there has been no cheating or copying in producing the work and that any sources of

information used in your work have been properly referenced.

Learner Statement

Before submitting your assignment for marking and scrutiny, please read Statement A and

Statement B (below). Tick ONE box next to the corresponding statement as appropriate

before signing and dating this form.

Statement A My submitted assignment is my own work. ☐

Statement B My submitted assignment is my own work, but with some

help as outlined on the reverse of this sheet. ☐

Learner’s Signature

Engineering Maths. Level 4

Date (DD/MM/YYYY)

Optional:

I hereby give my permission for my work to be used by the centre for future training and/or

exemplar purposes. ☐

Engineering Maths

Assignment 2 – Trigonometry

To pass this assignment, you must show that you can

2.1 solve exponential and trigonometric problems

2.2 analyse geometric problems involving non right-angled triangles to determine solutions

2.3 select and apply appropriate formulae to find areas, surface areas and volumes of typical

engineering problems

To obtain a merit, you must pass the above and show that you can

2.4 determine solutions to trigonometric equations

To obtain a distinction, you must pass the above and show that you can

2.5 demonstrate an appreciation of how trigonometric waveforms can be applied to engineering

scenarios

In submitting this assignment you confirm that all of your work is your own. To affirm this

point, you must show all you working out.

You must attempt the PASS questions as a minimum to achieve a grade.

PASS

2.1 solve exponential and trigonometric problems

A Produce a graph of three curves overlayed on top of each other for y=2x, y=ex, and y=3x

for -3≤x≤3 to and label to show the different trends.

B The instantaneous voltage v in a capacitive circuit is related to time t by the following

equation:

v=Ve−t/CR where V, C and R are constants.

Engineering Maths. Level 4

Determine v, correct to 4 significant figures, when t =0.02 seconds, C =10×10−6 farads,

R=35×102 ohms and V =220 volts

C

)

ii)

Engineering Maths. Level 4

2.2 analyse geometric problems involving non right-angled triangles to determine solutions

A The diagram shows a crane jib fixed to a wall.

Length RT = 40m

Length RS = 16m

Angle S = 120o

i)Apply the sine rule to determine the

angle of the jib to the vertical, i.e.

angle R.

ii) Find the length ST

B

Two voltage vectors Va and Vb

combine to form a resultant vector Vr.

Va = 110V

Vb = 230 V

Vb is at an angle of 45 degrees from

the horizontal.

Apply the cosine rule to determine the

length of Vr and the angle between Va

and Vr.

Engineering Maths. Level 4

2.3 select and apply appropriate formulae to find areas, surface areas and volumes of typical

engineering problems

A

A solid block of aluminium is machined into 3 structures as follows:

● A) 1 x 60cm long cylinder of radius =5cm

● B) 1 x 60cm tall cone of base radius = 5cm

● C) 1 x 10cm diameter sphere

Determine the surface area and volume of each structure.

MERIT

2.4 determine solutions to trigonometric equations

A Solve

2tanx −2=0 for 0

◦

≤ x ≤360

◦

DISTINCTION

2.5 demonstrate an appreciation of how trigonometric waveforms can be applied to

engineering scenarios

A

a) An instantaneous value of voltage in an AC circuit at time t seconds is given by

v=400sin(50π t – 0.5) volts. Determine:

i) The amplitude, periodic time (s), frequency (Hz) and phase angle

(degrees)

ii) The voltage when t=0

iii) The voltage when t=1s

Engineering Maths. Level 4

b) An instantaneous signal voltage (vs) is described by the equation:

v =340 sin(50πt −0.541) volts

i) Make time (t) the subject of this formula and hence determine the time

when the voltage first reaches 200V.

ii) Sketch one cycle of the waveform