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
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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 ±
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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 ±
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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
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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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This note was uploaded on 10/12/2011 for the course MATH 201 taught by Professor Foad during the Spring '11 term at Qatar University.

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

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