Chapter 13 More Trigonometry

Accuracy refers to how close a measured value is to the actual (true) value. In this section, we learn about accuracy, upper bounds, lower bounds.

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. In this section, we learn about trigonometry, graph of sine function.

In a right-triangle, cosine is defined as the ratio of the length of the adjacent side to that of the longest side (hypotenuse). In this section, we learn about trigonometry, graph of sine function.

In a right angled triangle, the tangent of an angle is the length of the side opposite the angle divided by the length of the adjacent side. In this section, we learn about trigonometry, angle of depression, graph of tangent function.

The sine rule for the area of a triangle is Area = ½ ab sinC, where ‘a‘ and ‘b‘ are two sides of a triangle and ‘C‘ is the angle in between them. In this section, we learn about sine and cosine rules, sine rule, discussion of the sine rule in a general triangle, use the sine rule to find the missing side, use the sine rule to find the missing angle, area of triangle.

The cosine rule a^2=b^2+c^2-2bccosA can be used in any triangle to calculate an unknown side. In this section, we learn about sine and cosine rules, cosine rule, arrange the cosine rule to find an angle, use the cosine rule to find the missing angle.

Pythagoras’s theorem can be extended into three dimensions. In this section, we learn about trigonometry, Pythagoras theorem, triangles imbedded in 3D objects.

The graph of y=-f(x) is the reflection of the graph of y=f(x) in the x-axis. The graph of y=f(-x) is the reflection of the graph of y=f(x) in the y-axis. In this section, we learn about transforming trigonometric graphs

The sine and cosine curves are identical in shapes but 〖90〗^° ‘out of phase’, meaning that you can shift one horizontally to get the other. In this section, we learn about transforming trigonometric graphs.