Circular functions Flashcards
how do you convert from degrees to radians
x π/180
how do you convert from radians to degrees
X 180/π
P(⊘) = (x,y) = …….
(cos ⊘, sin ⊘)
tan ⊘ = …….
sin ⊘/ cos ⊘
for symmetry properties in quadrant 2 what is the rule?
π - ⊘ (sin positive, cos negative, tan negative)
for symmetry properties in quadrant 3 what is the rule?
π + ⊘ (tan positive, cos negative, sin negative)
for symmetry properties in quadrant 4 what is the rule?
2π - ⊘
what are the symmetry property rules for negative angles?
sin (-⊘) = -sin ⊘
cos (-⊘) = cos ⊘ (POSITIVE)
tan (-⊘) = -tan ⊘
what is the period equal to for cos and sin graphs
2π/n
what is the amplitude for cos and sin graphs
a
sin graph shape (+)
cos graph shape (+)
when a sin graph is reflected in the y-axis it is…
equivalent to being reflected in the x-axis
when a cos graph is reflected in the y-axis it…
transforms onto itself (no change)
for complimentary relationships what is the rule in the first quadrant?
π/2 - ⊘
for complimentary what is the rule in the second quadrant?
π/2 + ⊘
for complimentary relationships what is the rule in the third quadrant?
3π/2 - ⊘
for complimentary relationships what is the rule in the fourth quadrant?
3π/2 + ⊘
what is the rule for pythagorean identity
cos²⊘ + sin²⊘ = 1
what is sin equal to in quadrant one in reference to complementary relationships
cos ⊘
what is cos equal to in quadrant one in reference to complementary relationships
sin ⊘
what is sin equal to in the second quadrant in reference to complementary relationships?
cos ⊘
what is cos equal to in the second quadrant in reference to complementary relationships?
-sin ⊘
what is sin equal to in the third quadrant in relation to complementary relationships?
-cos ⊘
what is cos equal to in the third quadrant in relation to complementary relationships?
- sin ⊘
what is sin equal to in the fourth quadrant in relation to complementary relationships?
- cos⊘
what is cos equal to in the fourth quadrant in relation to complementary relationships?
sin ⊘
what is the period equal to for tangeant function graphs
π/n
what are the assymptotes equal to for tangeant function graphs?
t = (2k+1)π/ 2n
what are the t-axis intercepts equal to on a tangeant function graph?
t = kπ/n
what is the scale for a tangeant function graph?
period/2
tan graph shape (+)
What is the period equal to for sin and cos graphs
2pie/n
