Pre Calculus Honors Trig Identitiies

Solve on the domain [0, 2π)
4sin²x = 3

• π/6, 11π/6
• π/3, 2π/3
• π/6, 5π/6, 7π/6, 11π/6
• π/3, 2π/3, 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2
• 0, π/4, 3π/4
• π/2, 3π/2, π/4, 3π/4
• No solution

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• No solution

Tags

CCSS.HSF.TF.B.7

• No solution
• π/3 +2πn, 5π/3 +2πn
• π/6 +2πn, 11π/6 +2πn
• 2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

Solve the following equation for 0 ≤ x ≤ 2π.  sin 2x + sin x = 0

• x = 0, 2π/3, π, 4π/3, 2π
• x = 0, π/6, π, 7π/6, 2π
• x = 0, 2π/3, 4π/3, 2π
• x = 0, 2π/3, π, -4π/3, 

Tags

CCSS.HSF.TF.B.7

Use a double-angle identity to find the exact value of the following expression.
cos θ= 15/17 and 3π/2 < θ < 2π
Find cos 2θ

• -240/161
• 240/161
• -240/289
• 161/289

Tags

CCSS.HSF.TF.C.9

Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)

• 1/4
• √6/4 - √2 / 4
• √6 + √2 / 4
• -√6/4 - √2 / 4

Tags

CCSS.HSF.TF.C.9

Solve on the domain [0, 2π)
4sin²x = 3

• π/6, 11π/6
• π/3, 2π/3
• π/6, 5π/6, 7π/6, 11π/6
• π/3, 2π/3, 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

• π/6, 5π/6
• π/3, 5π/3
• 2π/3, 4π/3
• 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

Given sin x = -3/5, cos x = -4/5 and cos y= (2√5)/5, sin y = (-√5)/5

Please find the sum or difference:

cos (x+y)=

• (-11√5)/25

• (-2√5)/25

• (√2-√6)/4

• 2

Tags

CCSS.HSF.TF.C.9