Write the function tan((3\pi )/(4) -x) as an expression involving functions of x only

asked Oct 26, 2022 61.4k views

3 votes

Write the function tan(
$(3\pi )/(4) -x$ ) as an expression involving functions of x only

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Explanation:

$\tan( (3\pi)/(4)- x) = ( \tan( (3\pi)/(4) ) - \tan(x) )/(1 + \tan( (3\pi)/(4) ) \tan(x))$

Since tan(3pi/4) = -1

$\tan( (3\pi)/(4)- x) = ( - 1 - \tan(x) )/(1 - \tan(x))$

$= ( \tan(x) + 1)/( \tan(x) - 1)$

Sriharish S answered Nov 2, 2022

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