Week One

Introduction to Trigonometry

(to be completed by Monday next week)

Work outline: Introduction to trigonometry

Resources:

Notes: Introduction to trigonometry

Link showing graphing of sine and cosine from the unit circle. Select sine, cosine or both and start the animation to see the curves drawn as the point rotates around the unit circle.

Video explaining the 3 trig graphs. This video includes the tan graph.

Video explaining the special triangles. The special triangles are given on the formula sheet and this video explains how to use them to find exact values for the 3 trig functions and multiples of 30, 45 and 60 degrees.

Desmos is an online graphing program. Use this graphing package to enter equations of the following form and play with changing the values of A, B, C and D. Make sure you understand how each value changes the standard trig graph.

For the general trig function y=AsinB(x+C)+D

A changes the amplitude

B changes the period

C translates horizontally

D translates vertically

This link for Desmos has a sliding bar to allow you to see the effect of changing the amplitude or the period of the cosine graph. You can change the equation to see the same thing for the sine graph.

Worksheet:

Symmetry and simple trig equations. The solutions for these questions are on the front of the worksheet.