How do you find a numerical value of one trigonometric function of x given $cscx=sinxtanx+cosx$ ?

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Answer 1 · 2016-11-12T10:12:18

$:.x=pi/4+pin$

$cscx=sinxtanx+cosx$

$1/sinx = sinxsinx/cosx+cosx$

$1/sinx=sin^2x/cosx+cosx$

$1/sinx=(sin^2x+cos^2x)/cosx$

$1/sinx=1/cosx$

$1=1/cosx*sinx$

$1=sinx/cosx$

$1=tanx$

$tan^-1 1=x$

$:.x=pi/4+pin$

How do you find a numerical value of one trigonometric function of x given cscx=sinxtanx+cosxcscx=sinxtanx+cosx?