From our ship-mast example before, the relationship between an angle and its tangent can be determined from its graph, shown below. The graphs of sine and cosine are included as well.

Trigonometric skills Trigonometry examples Trigonometry helps solve problems involving right-angled triangles using the sine, cosine or tangent ratios. SOH CAH TOA is used to help remember the ...

Wikimedia Next, think about the relationship between sine, cosine and the circle. Here's an illustration of the fundamental relationship between the three. Notice how the crank moves in a circle ...

For example, to simplify tan θ · csc θ, convert both functions: (sin θ/cos θ) · (1/sin θ) = 1/cos θ = sec θ. The sine terms cancel out, leaving a clean, simplified result.

Applications of acosx + bsinx Given any expression of the form a cos x + b sin x it is better to rewrite it into one of the forms k cos (x ± α) or k sin (x ± α) before answering the question.

Meanwhile trigonometry focuses on functions that depend on angles. These functions, such as the sine and cosine, are defined using right triangles.

The aim of this article is to supply a detailed description of such a method. An example of its application is given. Design-A statistical test is presented that retains the information on the ...

This approach works because sine and cosine are the building blocks of all other trigonometric functions. For example, to simplify tan θ · csc θ, convert both functions: (sin θ/cos θ) · (1 ...