A variety of trigonometric equations which can be solved using inverse operations.

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Homwork Set.  Covers graphical, and trigonometric methods of vector addition.

Rewriting a trigonometric expression of the form $A\cos(\theta)\pm B\sin(\theta)$ to either $R\sin(\theta+\alpha)$ or $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$. 

Rewriting a trigonometric expression of the form $A\sin(\theta)-B\cos(\theta)$ to $R\sin(\theta-\alpha)$ by calculating $R$ and $\alpha$.

More work on differentiation with trigonometric functions

More work on differentiation with trigonometric functions

More work on differentiation with trigonometric functions

Here you need to choose which trigonometric function is the red dashed side divided by the solid green side. Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

Here you need to choose which trigonometric function is the red dashed side divided by the solid green side. Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

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Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

More work on differentiation with trigonometric functions

Differentiation of trigonometric functions

More work on differentiation with trigonometric functions

More work on differentiation with trigonometric functions

Differentiation of trigonometric functions

More work on differentiation with trigonometric functions

A portfolio of NUMBAS questions created for first year Natural Sciences students. The questions cover the topics: 

• Linear functions
• Quadratic functions
• Differentiation
• Integration
• Explonatial and logarithms 
• Further differentiation
• Further Integration
• Trigonometric Functions

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

More difficult trigonometric equations with radians

Solving $\cos(nx)=a$ for $x\in (0,\pi)$, where $n$ is an integer and $a\in(0,1)$.

More work on differentiation with trigonometric functions

Choose one from a list to identify the function shown in a graph. The function is a randomly selected sin, cos, or tan graph with random scale factor.

several statements are given regarding trig identities. student is to select which are true and which are false

Solve a trigonometric equation

Solve a trigonometric equation involving a conversion to tangent by division by cosine.

Trigonometric equations with degrees

Simple trig equations with radians