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Basic Trig Equations

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Trig Equations - 1 step problems

Solving basic trig equations such as Sin(x) = 0.6
Finding all solutions between 0 and 360 degrees using the features and symmetry of the graph.
Using the unit circle to find all solutions (Positive regions: All, Sin, Tan, Cos)


Class Notes | Blank Notes

Ex 34.02

1 step problems

p155

basic trig equations

Quadrants in degrees

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Solving Trig Equations by Rearranging

Rearranging equations into the form Sin(x) = before using the graph and unit circle method to solve the equation.
Solving 2 Step problems

Class Notes | Blank Notes

Ex 34.05 & Ex 34.06

2 step problems

p156

Jump down to...  Sin trig equations  | Cos trig equations

Sin trig equations

Waldo Maths java applet demonstrations Trig Equations

Trig graphs are periodic repeating cycles) so multiple solutions are possible.
Find all the solutions between x = 0 and 360
 

What would the next solutions above 360 be?

Mouse-over "solutions" to see the graph change

x = Sin-1(0.7)
180 - x = 

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Cos trig equations

Find the first solution by the same method. The Cos graph shape means we take the first solution off 360 for the 2nd solution.

 

What would the next solutions above 360 be?

Mouse-over "solutions" to see the graph change

x = Cos-1(-0.3)
360 - x = 

 

1 step problems

 

Continue to mixed trig equations

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