Solve Simple Trig Equations

Let's solve for all solutions from 0 to the end of one period of the function. That interval would be 0≤x<2π/3. We would get 3x=​ (a)   and 3x=​ (b)  

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CCSS.HSF.TF.B.7

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CCSS.HSF.TF.B.7

For what numbers x, 0 e x e2 ext{π} , does sin x= -1

• π/2, 3π/2

• 3π/2

• none

Tags

CCSS.HSF.TF.B.7

For what numbers x, 0 e x e2 \pi, does sin x =1

• π/2, 3π/2

• π/2

• 0, 2

• none

Tags

CCSS.HSF.TF.B.7

For what numbers x, 0 e x e2 extbackslash pi, does sin x =1

• π/2, 3π/2

• π/2

• 0, 2

• none

Tags

CCSS.HSF.TF.B.7

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CCSS.HSF.TF.B.7

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CCSS.HSF.TF.B.7

Mathematical Equivalence

ON

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CCSS.HSF.TF.B.7

2 sinθ+3=2

• π/6,2π/3

• 7π/6 

• 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

Solve tanθ+1=2 on θ∈[0, 2π)

• 0 and π

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7