Trig Reference Angles Flashcards
Sin (0)
0
Sin (30)
1/2
Sin (45)
√2/2
Sin (60)
√3/2
Sin (90)
1
Cos (0)
1
Cos (30)
√3/2
Cos (45)
√2/2
Cos (60)
1/2
Cos (90)
0
Tan (0)
0
Tan (30)
√3/3
Tan (45)
1
Tan (60)
√3
Tan (90)
Undefined
Tan =
Sin/Cos
When sin=0, csc is
Undefined
When cos=0, sec is
Undefined
π/6
30
π/4
45
π/3
60
π/2
90
2π/3
120
3π/4
135
5π/6
150
π
180
7π/6
210
5π/4
225
4π/3
240
3π/2
270
5π/3
300
7π/4
315
11π/6
330
2π
360
y=d+a sin b(x-c)
a= amplitude
If a is positive, curve is normal. If a is negative, curve is reversed.
If a is greater than 1, it is stretched. If a is less than 1, it is shrunk.
360/b=period
If the period is greater than 360, it is elongated. If the period is less than 360, it is compressed.
c=phase shift
If c is being added, phase shifts left. If phase is being subtracted, phase shifts right.
d=vertical translation
If d is positive, graph moves up. If d is negative, graph moves down.
Range of the function is [-a,a] with d added or subtracted when necessary