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PLEASE HURRY I NEED HELP SOS!!!!!!!! (10 POINTS)solve sinø+1=cos2ø on the interval 0≤ø<2π
4 months ago
Q:
PLEASE HURRY I NEED HELP SOS!!!!!!!! (10 POINTS)solve sinø+1=cos2ø on the interval 0≤ø<2π
Accepted Solution
A:
Answer:[tex]\theta \in \{0, \pi, \frac{11\pi}{6}\}[/tex]Step-by-step explanation:[tex]\sin\theta + 1 = \cos(2\theta)\\\sin\theta + 1 = \cos^2\theta - \sin^2\theta\\\sin\theta + \sin^2\theta + \cos^2\theta = cos^2\theta -\sin\theta^2\\2\sin^2\theta +\sin\theta = 0\\\sin\theta[2\sin\theta + 1] = 0\\\sin\theta = 0 || 2\sin\theta + 1 = 0\\\theta \in \{0, \pi, \frac{11\pi}{6}\}[/tex]