The number of solutions for the equation sin ⁡2x+ cos ⁡4x=2 is

Question

Accepted Answer

Correct answer: C. (c) : sin ⁡2x+ cos ⁡4x=2=1+1 ∵ sin ⁡2x 1 and cos ⁡4x 1 ∴ sin ⁡2x+ cos ⁡4x 2 but sin ⁡2x+ cos ⁡4x=2, which is only possible when sin ⁡2x=1 and cos ⁡4x=1 or, 2x= nπ+ (-1 )^n 2 and 4x=2 mπ ⇒x= nπ2+ (-1 )^n 4 and x= mπ2 If we keep values of m ,n then there is no common value of x ∴ number of solutions =0.

$The number of solutions for the equation sin 2 x + cos 4 x = 2 is$

Solution

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