Use YOUR CALCULATOR to find the following for 0 < x ≤ 360o
sin x =
cos x =
tan x = 1
tan x = -1
1
Use your calculator to find the following for 0 < x ≤ 360o
cos x = 0
sin x = 1
tan x =
cos x =
Use your calculator to find the following for 0 < x ≤ 2π
cos x =
sin x =
tan x =
cos x = 0
2
Use YOUR CALCULATOR to find the following for 0 < x ≤ 360o
sin x =
cos x =
tan x = 5
tan x = -10
Use your calculator to find the following for 0 < x ≤ 2π
cos x =
tan x =
sin x =
sin x = 0.5
3
Trig Function
Inverse Trig Relation
y = sin x
x = sin-1 y
x = arcsin y
y = cos x
x = cos-1 y
x = arccos y
y = tan x
x = tan-1 y
x = arctan y
So, if sin 30o = 1/2.....
30o = sin-1 (1/2)
Therefore..... the INVERSE of the RATIO is an ANGLE.
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Example 7
Evaluate each expression. Assume that all angles in
Quadrant I.
cos (arcsin 2 )
3
Example 8
Evaluate each expression. Assume that all angles in
Quadrant I.
tan (tan-1 6 )
11
5
Example 9
Evaluate each expression. Assume that all angles in
Quadrant I.
sec (sin-1 4 )
7
classwork/homework
pg. 309 #15-27, 60
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