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IBDP Mathematics: Trigonometry

Trigonometry

· mathematics,Trigonometry,ib mathematics,IBDP Mathematics

Radians

Angles can be measured in either radians or degrees where  180° = π radians. If you know that 180° = π  radians, you can easily convert between the two.

To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.

So 30° converts to radians as follows:

30π /180 = π/6 radians

To convert from radians to degrees, you simply have to multiply the radian value by 180/π.

To convert π/4 radians into degrees:

180/4 = 45°

Sin, Tan and Cos

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All, Sin, Tan and Cos:

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This is an All, Sin, Tan and Cos diagram. This determines whether the outcome of the equation will be positive or negative.

Compound Angle formula:

The compound angle (or addition) formulae are:

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This is commonly seen in a question where you will be asked to give an expansion of Sin or Cos.

You will need to know your exact values to figure these out.

 

Example:

By writing 75°=45°+30° determine the exact value of sin 75°

sin75°=sin(45+30)°

 

using the formula for sin(A+B)

= sin45°cos30° + cos45°sin30°

 

using exact values that you should know

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Double Angle Formula:

The double angle formulae are

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Work hard for your IBDP Mathematics examination!

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