**"Trigonometric identities"**

## GT6 TRIGONOMETRIC IDENTITIES AND EQUATIONS

*By toni On 27 August, 2018 · Leave a Comment*

This workshop reviews reduction formulae in terms of rotations and reflections. It offers learning activities that involve sortingĀ and solving trigonometric equations and finding general solutions, or solutions within a

given domain, using known identities and graphical or unit circle representations. Suggestions are given organising group activies and learners presenting and explaining their ideas […]

## Grades 11 and 12 Degree Ceremony

*By toni On 19 July, 2017 · Leave a Comment*

Draw a triangle with angles x, (45 + x) and (45 – x) degrees.

What does Pythagoras Theorem tell you about these angles?

Use this information to find this sum of squares of sines:

See the AIMSSEC Notes for Teachers.

This problem is adapted from the NRICH task Degree […]

## Grades 11 and 12 Always or sometimes

*By toni On 20 May, 2017 · Leave a Comment*

Angles A, B and C are the angles of a triangle. Decide whether each of the following is an identity, always true for all triangles, or an equation, sometimes true. If you decide it is an equation find the solution or solutions and describe the corresponding triangle.

Click here for Notes for Teachers

## Grades 11 to 12 – Geometric Trig

*By toni On 21 May, 2012 · 8 Comments*

This is a unit circle with a tangent at A.

The angle marked in the diagram is angle a.

Copy the diagram and find all the angles in terms of the angle a.

Find the six line segments in the diagram corresponding to sina, cosa, tana, 1/sina, 1/cosa and 1/tana.

Find the areas of […]

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