In trigonometry some values of sin, cos and tan are “nice”
For example?sin 30° = ?,?tan 45° = 1
We can find those associated with the angles?30°,?45°?and?60°?using SOHCAHTOA on isosceles and equilateral triangles
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sin,?cos?and?tan?values for?30°,?45°?and?60°?should be recalled easily
Memorise either the actual values or how to work them out from the triangle
sin,?cos?and?tan?for?0°,?90°,?180°?should also be very familiar
They can be recalled using the relevant?trigonometric?graph?(see Graphs of Trigonometric Functions)
Exact values and radians
All of the above applies to radians as well as degrees
Here is a table of all exact values including?radians?(see Radian Measure)
How do I find exact values of other angles?
Exact?sin,?cos?and?tan?values of?multiples?of?30°,?45°,?60°?can also be found
This is a combination of recalling the basic values and using the graph
Exam Tip
Draw the triangles for?sin,?cos?and?tan?of?30°,?45°?and?60°?on the exam paper so that you can then use them as many times as you need throughout the paper.
Worked Example
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