1. Multiple Solution Problems
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Multiple Solution Problems
End
1) Solve Sin(2x) = 0.6
2) Solve Cos(2x) = 0.8
3) Solve 5Tan(2x) = 8.4
4) Solve Sin(2x + 15) = 0.85
5) Solve 0.5Cos(0.5x) + 4 = 3.92

2. Multiple solutions A 1) Solve Sin(2x) = 0.6 Let A = 2x Sin(A) = 0.6
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Multiple solutions A
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1) Solve Sin(2x) = 0.6
Let A = 2x Sin(A) = 0.6
A = Sin = 36.9°
and A = 180 – 36.9 = 143.1°
The next two solutions for A = 396.9° and A = 503.1°
So A = 36.9°, °, °, °
x = A ÷ 2 so x = 18.5° and 71.7° and 198.5° and 251.6°
180
0, 360 A T C S
2) Solve Cos(2x) = 0.8

3. Multiple solutions B Home End 3) Solve 5Tan(2x) = 8.4
180
0, 360 A T C S
3) Solve 5Tan(2x) = 8.4
180
0, 360 A T C S
4) Solve Sin(2x + 15) = 0.85
180
0, 360 A T C S
5) Solve 0.5Cos(0.5x) + 4 = 3.92

4. Overview: Trig Equations
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Overview: Trig Equations
1) Rearrange the equation into the form
Sin A =
eg) Solve 5Sin(2πx) = 4
Sin(2πx) = 0.8
2) Find a solution to the trig equation
Check if degrees or radians!
Where A = 2πx
Sin(A) = 0.8
A = Sin = radians
3) Find several solutions for ‘A’
Using graph or unit circle
Note π so use radians
A = π – = rad
4) Use ‘A’ to find solutions for ‘x’
A = or
Use each ‘A’ to find ‘x’
Where A = 2πx so x = A ÷ 2π
x = ÷ 2π = 0.148
x = ÷ 2π = 0.352