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The number of values of x for which sin2...

The number of values of x for which `sin2x + cos4x = 2` is

A

0

B

1

C

2

D

`infty`

Text Solution

Verified by Experts

The correct Answer is:
A
Given , `sin2x+cos4x=2`
`rArrsin2x+1-2sin^(2)2x=2`
`rArr2sin^(2)2x-sin2x+1=0`
Now , discriminant ,`D=b^(2)-4ac=(-1)^(2)-4*2*1=-7lt0`
Hence ,it is an imaginary equation ,so the real roots does not exist.
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