How do you solve $Cos^2 theta + sin theta = 1$ ?

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Answer 1 · 2016-07-25T23:14:49

Remember that $cos^2 theta+sin^2 theta=1$ hence our given equation becomes

$cos^2 theta+sintheta=1=>cos^2 theta+sintheta=cos^2 theta+sin^2theta=>sin^2theta-sintheta=0=>sintheta*(sintheta-1)=0$

from the relationship $sintheta*(sintheta-1)=0$ we have that

$sintheta=0=>theta=2*k*pi$ where k is an integer

and

$sintheta=1=>theta=2m*pi+pi/2$ where m is an integer

How do you solve Cos^2 theta + sin theta = 1Cos^2 theta + sin theta = 1?