Find x if 2 sin2 x - 1 = 0.
Answer & explanation
Correct answer: option 1
2 sin2 x - 1 = 0
2 sin2 x = 1
sin2 x = \(\frac{1 }{2}\)
sinx = \(\frac{1 }{√2}\)
{ we know, sin45º = \(\frac{1 }{√2}\) }
and 45º = \(\frac{π }{4}\)
So, x = \(\frac{π }{4}\)
Find x if 2 sin2 x - 1 = 0.
Correct answer: option 1
2 sin2 x - 1 = 0
2 sin2 x = 1
sin2 x = \(\frac{1 }{2}\)
sinx = \(\frac{1 }{√2}\)
{ we know, sin45º = \(\frac{1 }{√2}\) }
and 45º = \(\frac{π }{4}\)
So, x = \(\frac{π }{4}\)