Solving Trigonometric Equations

Find all solutions on the interval (0 ≤ x < 2π) for the function sin(x) = √2/2

• x = π/4, 3π/4

• x = π/4, 5π/4

• x = 3π/4, 5π/4

• x = π/4, 7π/4

Tags

CCSS.HSF.TF.B.7

Find all solutions on the interval (0 ≤ x < 2π) for the function cos(x) = 0

• x = π/2, 3π/2

• x = 0, π

• x = π/4, 5π/4

• x = π/3, 4π/3

Tags

CCSS.HSF.TF.B.7

Find all solutions on the interval (0 ≤ x < 2π) for which tan(x) = -1.

• x = π/4, 5π/4

• x = 3π/4, 7π/4

• x = π/4, 7π/4

• x = 3π/4, 5π/4

Tags

CCSS.HSF.TF.B.7

Find all solutions on the interval (0 ≤ x < 2π) for sin(x) = -1/2.

• x = 7π/6, 11π/6

• x = π/6, 5π/6

• x = 3π/2, 5π/2

• x = π/3, 4π/3

Tags

CCSS.HSF.TF.B.7

Tags

TEKS.MATH.P.5N

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7

16. Let f(x) = 6 + 4 cos x and g(x) = 6. In the xy-plane, what are the x-coordinates of the points of intersection of the graph of f and g for 0 <= x < 2pi?

• x = π/6, 5π/6

• x = π/2, 3π/2

• x = 0, π

• x = π/4, 7π/4

Tags

CCSS.HSF.TF.B.7

• x = π/3, x = π/2,

  x = 3π/2, x = 5π/3

• x = π/2, x = 3π/2,

  x = 5π/6, x = π/6

• x = π/4, x = 7π/4

• x = 0, x = π/6,

  x = π, x = 11π/6

Tags

CCSS.HSF.TF.B.7