Solving Trig

Why doesn't 2cosx − 3 = 0 have solutions?

• cos x is never bigger than one

• cos x is never equal to a fraction

• Actually, this equation does have a solution, x = π

• This equation will have a solution tomorrow.

Tags

CCSS.HSF.TF.B.7

Find the solution on the interval [0, 2π)

• π/6; 5π/6; 7π/6; 11π/6
• π/6; 5π/6
• 7π/6; 11π/6
• π/6+2πn; 5π/6+2πn

Tags

CCSS.HSF.TF.B.7

Find the solution on the interval [0, 2π)

• 0; π
• π; π/4; 3π/4; 5π/4; 7π/4
• 0; π; π/4; 3π/4; 5π/4; 7π/4
• No Solution

Tags

CCSS.HSF.TF.B.7

Find the solution on the interval [0, 2π)

• 7π/6
• 11π/6
• 7π/6; 11π/6
• 7π/6+2πn; 11π/6+2πn

Tags

CCSS.HSF.TF.B.7

Find the solution over the interval [0, 2π)

• π/3; 5π/3
• π/3
• 5π/3
• π/3+2πn; 5π/3+2πn

Tags

CCSS.HSF.TF.B.7

Find the solution over the interval [0, 2π)

• 0, π, π/6, 5π/6, 7π/6, 11π/6
• 0, π/6, 7π/6
• π, 5π/6, 11π/6
• π, π/6, 5π/6, 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

Find the solution over the interval [0, 2π)

• π/6; 5π/6; 7π/6; 11π/6
• π/2; 3π/2
• π/2; 3π/2; π/6; 5π/6; 7π/6; 11π/6
• π/2

Tags

CCSS.HSF.TF.B.7

Find the solution over the interval [0, 2π)

• π/2; 3π/2; π/4; 3π/4
• π/2; 3π/2
• π/4; 3π/4
• π/4

Tags

CCSS.HSF.TF.B.7

Find the solution over the interval [0, 2π)

• π/6; 5π/6
• π/6; 5π/6; 7π/6;11π/6
• 7π/6;11π/6
• π/6; 7π/6

Tags

CCSS.HSF.TF.B.7

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6
• θ = π / 6,  5π / 6
• θ = 5π / 6,  7π / 6
• θ = 7π / 6,  11π / 6

Tags

CCSS.HSF.TF.B.7