Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of solutions, the equation sin 4 x + cos 4 x = sinxcosx has, in [ 
, 5 
] is/are
Text Solution
Verified by ExpertsThe correct answer is:
4
4
sin 4 x + cos 4 x = sinxcosx
(sin 2 x + cos 2 x)-2sin 2 xcos 2 x = sinxcosx
2sin 2 xcos 2 x + sinxcosx-1 = 0
(2sinxcosx -l)(sinxcosx + 1) = 0
sin2x = 1 ...(i)
from(i) 
The number of solutions = 4
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