1 Answer

Andy J Buchanan · Answer 1 · 2019-08-17T18:33:54+0000

$(5\pi )/(4)$ or
$(7\pi )/(4)$

divide both sides by 2

sinΘ = -
(√(2) )/(2)

Since the sin ratio is negative then Θ is in third / fourth quadrants

Θ =
sin^(- 1) (
(√(2) )/(2) ) =
$(\pi )/(4)$ related acute angle

Θ = ( π +
$(\pi )/(4)$ ) =
$(5\pi )/(4)$

or Θ = ( 2π -
$(\pi )/(4)$ ) =
$(7\pi )/(4)$

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