Sum Difference Double Half Angle Trig Formulas

(sinu)(cosv) + (cosu)(sinv) =

• cos(u - v)

• cos(u + v)

• sin(u - v)

• sin(u + v)

(sinu)(cosv) - (cosu)(sinv) =

• cos(u - v)

• cos(u + v)

• sin(u - v)

• sin(u + v)

(cosu)(cosv) - (sinu)(sinv) =

• cos(u - v)

• cos(u + v)

• sin(u - v)

• sin(u + v)

(cosu)(cosv) + (sinu)(sinv) =

• cos(u - v)

• cos(u + v)

• sin(u - v)

• sin(u + v)

Use a double-angle identity to find the exact value of each expression
sin θ = −3/5 and 3π/2 < θ < 2π
Find tan 2θ

• -24/7

• 24/7

• 1

• -1
  -3/4

Find the exact value of sin 2x if sin x = 12/13 and x is in the first quadrant. 

• 120/169

• 25/169

• 60/169

• 5/13

Use the Half-angle formulas to find the exact value of each expression
sin 22.5º

• √(2 + √3)/2

• √(2 - √2)/2

• √(2 + √2)/2

• √(2 - √3)/2

Use the information about the angle θ, 0≤θ<2π to find the exact value of
sin (2θ)
sin θ= 3/5 , 0<θ<π/2

• 24/7

• 7/25

• 24/25

• 1/2