Exam (elaborations)
MAT1510 ASSIGNMENT 4 ANSWERS 2024
- Course
- MAT1510 (MAT1510)
- Institution
- University Of South Africa (Unisa)
MAT1510 ASSIGNMENT 4 ANSWERS 2024
[Show more]
Content preview
MAT1510ASSIGNMENT 4, 2024
ASSIGNMENT 04
Due date: Monday, 29 July 2024
Total Marks: 100
UNIQUE ASSIGNMENT NUMBER: 151133
MAY 19, 2024
[COMPANY NAME]
[Company address]
, ASSIGNMENT 04
QUESTION 1
(1.1)
(a) P(x,y) = (cos(7π/6), sin(7π/6)) = (-√3/2, -1/2)
(b) P(x,y) = (cos(-5π/6), sin(-5π/6)) = (√3/2, -1/2)
(c) P(x,y) = (cos(8π/3), sin(8π/3)) = (-1/2, √3/2)
(d) P(x,y) = (cos(3π/2), sin(3π/2)) = (0, -1)
(1.2)
(a) t = -7π/6 + (3π/2) = 5π/3
P(x,y) = (cos(5π/3), sin(5π/3)) = (-1/2, √3/2)
(b) t = 7π/6 + π = 19π/6
P(x,y) = (cos(19π/6), sin(19π/6)) = (√3/2, 1/2)
(c) t = 2π - 7π/6 = 5π/6
P(x,y) = (cos(5π/6), sin(5π/6)) = (√3/2, 1/2)
(d) t = 7π/6 - (3π/2) = -π/3
P(x,y) = (cos(-π/3), sin(-π/3)) = (1/2, -√3/2)
(1.3)
(a) Reference angle = 7π/8
(b) Reference angle = π/3
(c) Reference angle = π/2
(d) Reference angle = 5π/6
QUESTION 2
t sin(t −π) cos(t) sin(2π −t) cos(t +π) Smallest positive value of t
7π/4 -√2/2 -√2/2 √2/2 -√2/2 3π/4
QUESTION 3
To find the amplitude, period, and phase shift for each function, we'll
use the general forms of the sine and cosine functions and then sketch
the graph of one complete period.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller tshegofatso31. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R50,00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
60434 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now