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Inv Trig Fncs-Values-02

Inv Trig Fncs-Values-02 - Values Involving Inverse...

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Values Involving Inverse Trigonometric Functions II Finding arctrg(trgθ (

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Examples I
Arcsin arcsin[sin( - π/ 4 (] = - π/ 4 Notice that: - π/ 4 belongs to the range of the function y = arcsinx, which is [ -π/2 , π/2 ]

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Arctan arctan[tan( - π/ 4 (] = - π/ 4 Notice that: - π/ 4 belongs to the range of the function y = arctanx, which is ( -π/2 , π/2 (
Arccos arccos[cos( 3π/ 4 (] = 3π/ 4 Notice that: 3π/ 4 belongs to the range of the function y = arccosx, which is [ 0 , π ]

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Arccot arccot[cot( 3π/ 4 (] = 3π/ 4 Notice that: 3π/ 4 belongs to the range of the function y = arccotx, which is ( 0 , π (
Arcsec arcsec[sec( 5π/ 4 (] = 5π/ 4 Notice that: 5π/ 4 belongs to the range of the function y = arcsecx, which is [ 0 , π/2 ( U [π , 3π/2 (

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Examples II
Arcsin arcsin[sin( 3π/ 4 (] Notice that: 3π/ 4 does not belong to the range of the function y = arcsinx, which is [ -π/2 , π/2 ] sin( 3π/ 4 ( = 1/√2 ( Why? ( Thus, arcsin[sin(

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