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Section 8.1 The Inverse Sine, Cosine, and Tangent Functions

Section 8.1 The Inverse Sine, Cosine, and Tangent Functions

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<strong>Section</strong> <strong>8.1</strong><strong>The</strong> <strong>Inverse</strong> <strong>Sine</strong>, <strong>Cosine</strong>,<strong>and</strong> <strong>Tangent</strong> <strong>Functions</strong>

Review of Properties of <strong>Functions</strong> <strong>and</strong> <strong>The</strong>ir <strong>Inverse</strong>s

OBJECTIVE 1

Find the exact value of: sin−132

Find the exact value of: sin⎜−⎝⎛ −1 2 ⎞2⎟⎠

OBJECTIVE 2

Find an approximate value of:−13 −1⎛ 2⎞(a) sin (b) sin ⎜−⎟5 ⎝ 3⎠

OBJECTIVE 3

⎛ ⎞ ⎛ π ⎞(a) sin ⎜sin ⎟ (b) sin ⎜sin⎟⎝ 12 ⎠ ⎝ 5 ⎠-1 π−1 3

( -1 ( − )) -1( − )( )(a) sin sin 0.4 (b) sin sin 1.2

Find the exact value of: cos⎜−⎝⎛ −1 2 ⎞2⎟⎠

Find the exact value of:− ⎛ 2π⎞⎜ ⎟⎝ 3 ⎠( )( ) ( )1 -1 -1(a) cos cos (b) cos cos 0.6 (c) cos cos 1.8

⎛⎜−⎝3 ⎞3 ⎟⎠( − )−1 −1(a) tan (b) tan 1

OBJECTIVE 4

− 3cos x + 2

OBJECTIVE 5

tan−1 −1 π 2πx−5 tan x− =3 3