Results

By the end of this unit you will be able to:

• Define and use the trigonometric ratios of cosθ, sinθ and tanθ.
• Calculate the trigonometric ratios in each quadrant of the Cartesian plane.
• Calculate the value of expressions containing trigonometric ratios.

Outcomes

By the end of this course you will be able to:

• Define and use the trigonometric ratios of  cosθ,  sinθ, and  tanθ.
• Calculate the value of expressions containing trigonometric ratios with a calculator.
• Calculate the value of expressions containing trigonometric ratios without a calculator.
• Work with trigonometric tables.
• Solve problems in 2 dimensions involving angles of elevation and depression

Short tutorial on trigonometry

Students learn about two-axis rotations, and specifically how to rotate objects both physically and mentally about two axes. A two-axis rotation is a rotation of an object about a combination of x, y or z-axes, as opposed to a single-axis rotation, which is about a single x, y or z-axis. Students practice drawing two-axis rotations through an exercise using simple cube blocks to create shapes, and then drawing on triangle-dot paper the shapes from various x-, y- and z-axis rotation perspectives.

An interactive activity on finding the union of sets.

In this video you will learn how to use the Pythagoras theorem.

Using a Venn Diagram, students identify similarities and differences between two things by listing certain features in a chart containing overlapping circles. Venn Diagrams can be used to summarize, compare, or comprehend information.

This section introduces you to the realm of physics, and discusses applications of physics in other disciplines of study. It also describes the methods by which science is done, and how scientists communicate their results to each other.

Physics is a branch of science. The word science comes from a Latin word that means having knowledge, and refers the knowledge of how the physical world operates, based on objective evidence determined through observation and experimentation. A key requirement of any scientific explanation of a natural phenomenon is that it must be testable; one must be able to devise and conduct an experimental investigation that either supports or refutes the explanation. It is important to note that some questions fall outside the realm of science precisely because they deal with phenomena that are not scientifically testable. This need for objective evidence helps define the investigative process scientists follow, which will be described later in this chapter.