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The equation 2sin(x/2).cos^2x+sin^2x=2si...

The equation `2sin(x/2).cos^2x+sin^2x=2sin(x/2)sin^2x+cos^2x` has a root for which

A

statemetn -1 true statement -2 is true statement -2 is a correct explanation for statement -1

B

statement -1 is true statement -2 is true statement -2 is NOT a correct explantation for statement -1

C

statement -1 is true statement -2 is false

D

statement -1 is false statement -2 is true

Text Solution

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The correct Answer is:
a,b,c,d
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Knowledge Check

  • The equation 2 sin "" (x)/2 cos^2 x - 2 sin"" (x)/2 sin^2 x = cos^2 x - sin^2 x has a root for which

    A
    `sin 2 x = 1`
    B
    `sin 2 x = -1`
    C
    `cos x = 1/2`
    D
    `cos 2 x = -1/2 `

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    A
    sin 2x =1
    B
    ` cos x=(1)/(2)`
    C
    `cos 2x=-(1)/(2)`
    D
    `cos x =1 `

  • Number of solutions of equation 2"sin" x/2 cos^(2) x-2 "sin" x/2 sin^(2) x=cos^(2) x-sin^(2) x for x in [0, 4pi] is

    A
    6
    B
    8
    C
    10
    D
    12

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