# The Trigonometric Function Quiz

## Web resources available

This quiz tests the work covered in Lecture 4 and corresponds to Section 1.5 of
the textbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum
et al.).

There are further web quizzes at Wiley. Choose section 5 from this page.

Be aware that it doesn’t seem to accept the written answers so you will have to check
whether your answers are correct when they print the correct answer. The answer to
question 12 was incorrect on 31/10/05

There are some questions in the quizzes for MATH1011 that may be appropriate - omit questions 1 and 2 from http://www.maths.usyd.edu.au/u/UG/JM/MATH1011/Quizzes/quiz1.html but the other 8 questions are useful.

The Mathematics Learning Centre has a booklet on Introduction to Trigonometric Functions and tutors who can help you with the concepts.

There are some nice graphics of the sine function with different periods at http://www.ies.co.jp/math/products/trig/applets/graphSinAX/graphSinAX.html and at http://www.ies.co.jp/math/products/trig/applets/ABCsinX/ABCsinX.html. They look at the graphs in terms of angles instead of radians.

You can run applets from http://www.univie.ac.at/future.media/moe/galerie/fun2/fun2.html$\u266f$sincostan. Graphs of elementary trig functions allow you to see the graphs of sine, cosine and tangent and their relationship to travelling around a circle. Recognize functions and graphs are useful to test your understanding. The function plotter allows you to plot any function, make sure you read ‘Description’ to see how to enter functions.

## Question 1

Please do not use the trig functions on your calculator to answer this question.

**Not correct. Choice (a) is false.**

You need to put $1-0.43{4}^{2}$ in brackets when you use the square root key.

**Not correct. Choice (b) is false.**

You must change your calculator to radians and use brackets carefully.

**Your answer is correct.**

**Not correct. Choice (d) is false.**

## Question 2

**Not correct. Choice (a) is false.**

**Your answer is correct.**

**Not correct. Choice (c) is false.**

**Not correct. Choice (d) is false.**

## Question 3

**Your answer is correct.**

we translate to the left by adding to the argument.

**Not correct. Choice (b) is false.**

we translate to the left by adding to the argument.

## Question 4

**Not correct. Choice (a) is false.**

**Not correct. Choice (b) is false.**

**Not correct. Choice (c) is false.**

**Your answer is correct.**

**Not correct. Choice (e) is false.**