Advanced Precalculus Notes 6.1 The Inverse Sine, Cosine
Download
Report
Transcript Advanced Precalculus Notes 6.1 The Inverse Sine, Cosine
Advanced Precalculus Notes 6.1 The Inverse
Sine, Cosine, and Tangent Functions
y = sin x and
y = sin-1x
graphed over the interval [-2 π , 2π ]
y sin 1 x
y sin x
Dom ain: x
Dom ain: 1 x 1
Range: 1 y 1
Range:
2
y
2
Find the exact value of each:
1
a) sin 1
1
b) sin ( )
2
1
Use a calculator to find an approximate value of each:
1
a ) sin ( )
3
1
1
b) sin ( )
4
1
y cos x
Dom ain: x
Range: 1 y 1
y cos1 x
Dom ain: 1 x 1
Range: 0 y
Find the exact value of each:
1
a) cos 1
1
b) cos ( )
2
1
Use a calculator to find an approximate value of each:
1 1
a) cos ( )
3
1
b) cos ( )
4
1
y tan x
Dom ain: x
n
2
Range: y
y tan1 x
Dom ain: x
Range:
2
y
2
Find the exact value of each:
b) tan1 ( 3)
1
a) tan 1
Find the exact value of each:
1
a) cos [cos(
12
)]
1
b) cos[cos (0.4)]
1
1
a) Does : tan[tan ( )]
2
2
1
1
b) Does: cos[cos (2)] 2 ?
Assignment:
page 457:
1 – 12, 13 - 55 odds, 57,
64 a, b