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In the domain [0∘,1000∘] [0^\circ , 1000^\circ ] [0∘,1000∘], how many solutions are there to sinθcosθ=12 \sin \theta \cos \theta = \frac {1} {2} sinθcosθ=21?
In the interval [0,2π] [0, 2 \pi ] [0,2π], how many solutions are there to
sinθ=2sin2θ? \sin \theta = 2 \sin 2 \theta ? sinθ=2sin2θ?
How many xxx's in the interval 0≤x≤29π0 \leq x \leq 29\pi0≤x≤29π satisfy sin(2x−π5)=sinπ8?\sin \left(2x-\frac{\pi}{5}\right)=\sin \frac{\pi}{8}?sin(2x−5π)=sin8π?
How many xxx's in the interval 0≤x≤60π0 \leq x \leq 60\pi0≤x≤60π satisfy 6cos2x+23sinx−4=0?6\cos 2x+23\sin x-4=0?6cos2x+23sinx−4=0?
cos2θ=cos2θ? \cos^2 \theta = \cos 2 \theta ? cos2θ=cos2θ?
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