Can you solve this??????
Answers
Answer:
Thew given equation is \sin 2\theta=\cos 3\theta . To find the general solution of the equation \sin \theta = \sin \alpha,0\leq \alpha \leq 90^o is
\theta = n \pi+ (-1)^n\alpha
Now,
\sin 2\theta=\cos 3\theta \\ \cos (90^o-2\theta)=\cos 3\theta \\ 90^o-2\theta=3\theta\\ 5\theta=90^o\\ 2\theta=36^o\\ \alpha =36^o
Thus the general solution of the equation
2 \theta = n \pi+ (-1)^n 36^o\\ \theta =\frac{ n \pi}{2}+ (-1)^n 18^o ,n=0,1,2,3,...
Answer:
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