Question #0b782

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Answer 1 · 2017-02-22T11:09:10

1) $sin (θ + \frac{π}{4}) = \frac{1}{\sqrt{2}} = sin (\frac{π}{4})$ $sin(theta+pi/4)=1/sqrt2=sin(pi/4)$

$=>x+pi/4=npi+(-1)^npi/4" whete "nin ZZ$

$=>x=npi+(-1)^npi/4-pi/4" whete "nin ZZ$

2) $tan(2theta-pi/4)+1=0$

$=>tan(2theta-pi/4)=-1=tan(-pi/4)$

$=>2theta-pi/4=npi-pi/4" whete "n in ZZ$

$=>theta=(npi)/2" whete "n in ZZ$