Total number of solutions of sinx.tan4x=cosx belonging to (0,π) are
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Answer:
Step-by-step explanation:
sin x tan 4x = cos x
sin x sin 4x = cos x cos 4x
cos x cos 4x - sin x sin 4x = 0
cos(x + 4x) = 0
cos 5x = 0
5x = pi/2 or 5x = 3pi/2 or 5x = 5pi/2
or 5x = 7pi/2 or 5x = 9pi/2
x = pi/10 or x = 3pi/10 or x = pi/2
or x = 7pi/10 or x = 9pi/10.
number of solutions is 5.
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