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The number of distinct real roots of |(s...

The number of distinct real roots of `|(sinx, cosx, cosx),(cosx, sinx, cosx),(cosx, cosx, sinx)|=0` in the interval `-(pi)/4le x le (pi)/4` is

A

0

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • int(cosx)/(cosx-sinx)dx=

    A
    `(1)/(2)log|cos x-sinx|-(1)/(2)x+c`
    B
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    C
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    D
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  • int(dx)/(cosx-sinx)=

    A
    `(1)/(sqrt(2))log|tan((x)/(2)-(pi)/(8))|+c`
    B
    `(1)/(sqrt(2))log|tan((x)/(2)+(3pi)/(8))|+c`
    C
    `(1)/(sqrt(2))log|tan((x)/(2)-(3pi)/(8))|+c`
    D
    `(1)/(sqrt(2))log|cot((x)/(2))|+c`

  • The number of real solutions of abs(y)=sinx, y=cos^(-1)(cosx), -2pi le x le 2pi is

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