Functions
What is sin θ equal to?
opp/hyp
What is the formula to convert from degree to radians
θ x π/ 180
What is the sin (a+b) identity
sin a x cos b + cos a x sin b
Use a double-angle identity (2θ ) to find the exact value
sin 120°
rad 3/ 2
Solve
4 sin2x - 1=0
sin x = +- 1/2
What is tan θ equal to?
opp/adj
Complete θ x 180/ ?
π
Complete the tan (a-b) identity
tan a - tan b/ 1+ ?
tana x tanb
Use a half-angle identity (θ/2) to find the exact value
cos 30°
rad 3/ 2
Solve
4 cos2x -3=0
cos x = rad 3/2
Complete
cot = 1/
tan θ
Convert 5 degrees to radians (show your work)
286.47
Find sin ( 7π /12)
rad 6 + rad 2/4
Use a double-angle (2θ) or half-angle identity (θ/2) to find the exact value
sin θ = − 7/ 25 270° < θ < 360°
Find cos θ/ 2
- 7 rad 2 /10
Solve
2 cos2 x - 5 cos2 x -3 = 0
cos x= - 1/2
Find the missing
cosec = ?
1/ sin θ
Convert 3π /10 radians to degrees (show your work)
54 degrees
sin x = -0.64 3π /2 < x< 2π
Find tan x
tan x = -0.83
Use a double-angle (2θ) or half-angle identity (θ/2) to find the exact value
cos θ = 1/3 0° < θ < 90°
Find sin 2θ
4 rad 2 /9
Solve
-7 sin2 x + 2= 0
sin x = rad 2/7 or rad 14/ 7
Which side is opposite of the hypotenuse
Opposite
Convert 395 degrees to radians
395π /180 radians
Solve
sin (3π /2 + x) + cos (27π /2 - x) + sin (3π +x) - cos( 7π - x)
= - 2 sinx
Use a double-angle (2θ) or half-angle identity (θ/2) to find the exact value
cos θ = 2 rad 5 /5 0° < θ < 90°
Find sin θ/ 2
rad 50-20 rad 5/ 10
Solve for x
tan ( 6x + 80° ) = - rad 3
x = -35 + 45k