Ch 13 & 14 Flashcards
Sin UC
y/r
Cos UC
X/r
Tan UC
Y/x
Sin reciprocal UC
Csc
R/y
Cos reciprocal UC
Sec
R/x
Tan reciprocal UC
Cot
X/y
Quadrants signs
ASTC All pos Sin/ recip pos Tan/ recip pos Cos/ recip pos
30*
|3/2, 1/2
Pie/6
45*
|2/2, |2/2
Pie/4
60*
1/2, |3/2
90*
Pie/2
Remember quadrants 1 2 3 4
1- all pos
2- sin pos
3- tan pos
4- cos pos
Sin triangle
Opp/hyp
Cos triangle
Adj/hyp
Tan triangle
Opp/adj
30,60,90 triangles
Across 90 is 2x
Across 60 is x|3
Across 30 is x
45 45 90 triangle
45 x
45 x
90 x|2
Coterminal angles
Same line
Pos neg angle
Conversion factor for radians and degrees
One pie = 180*
Area of sector
1/2(r^2)ø
Ø is in radians
Arc length
rØ
Ø is in radians
Reference Angles are in relationship to
X axis
How to evaluate trig functions
Find reference angle (Ø’)
Evaluate trig function for Ø’
Determine sign based on quadrant of beginning
Sin ^-1 3/2means
Sin Ø = 3/2
When doing inverse functions, always use what mode
Degrees
Sin graph starts
On the bottom of the wave
Cosine graph starts on the
Top of the wave
How to find max and mins of sin and cos
Amplitude
Period for cos sine
2pie/ b
Period for tan
Pie/b
Asymptotes for tan
Pie/ 2b
Halfway points for tan
(Pie/4b, a)
Midline
Horizontal line in vertical shift
Pythagorean identity
Sin^2 Ø + cos^2 Ø=1
General solution or interval are in
Radians
