Trig Ch. 6 Review

Evaluate the function:  arcsin(-1/2).

• π/3
• π/6
• 5π/6
• -π/6

Tags

CCSS.HSF.TF.B.7

Evaluate the function:  tan[sin^-1(-1/2)]

• √3
• √3/3
• -√3
• -√3/3

Tags

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Solve the equation for all solutions. Do not graph.

• 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

sin(3x)=√3/2

on the interval [0,2π). Do not graph.

• π and 2π

• π/9, 2π/9, 7π/9, 8π/9, 13π/9, 14π/9

• π/2 and 3π/2

• π/18 and π/9

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7

Find all solutions to

√3cos(3x)+1=0 by GRAPHING.

Round to 2 decimal places.

• 41.75^o+120n

  78.25°+120n

• 41.75^o+360n

  78.25^o+360n

• 125.26^o+120n

  234.74°+120n

• 125.26^o+360n

  234.74°+360n

Tags

CCSS.HSF.TF.B.7

• 4.39

• 5.03

• 2.74

• -1.25

Tags

CCSS.HSF.TF.B.7

• Subtract to get zero on one side, then factor out a cosine

• Use a double angle identity on the left to get sin(2Θ)

• Square both sides and use a Pythagorean identity

• Divide by cos Θ

Tags

CCSS.HSF.TF.C.8

Find the exact solution of the equation:
4arcsin(x)=π

• -√2/2
• √2/2
• 4
• 1/4

Tags

CCSS.HSF.TF.B.7