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