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Find the number of solution of the equat...

Find the number of solution of the equations
`sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1`, when ` x in[0,2pi]`

A

0

B

2

C

3

D

infinite

Text Solution

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The correct Answer is:
a
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FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)
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  8. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

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  9. The number of solution of the equation |cotx|=cotx+(1)/(sin x)(0lexle...

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  10. if 1+sinx+sin^2x+sin^3x+...........oo=4+2sqrt3, 0 ltx lt pi and x !=p...

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  11. The solution set of sin(x+pi/4)=sin 2x

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  12. If a,b,c be positive real numbers and the value of theta=tan^(- 1)sqrt...

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  13. The greatest possible value of the expression tan (x+2pi)/(3)-tan(x+(p...

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  14. cos^(-1)\ (cos(2\ cot^(-1)\ (sqrt(2)-1)))

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  15. All the pairs (x, y) that satisfy the inequality 2 sqrt(sin^(2) x - ...

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  16. If (1-tan theta)(1+tan theta)sec^2 theta+2^(tan^2 theta)=0 then in the...

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  17. Number of solution of the equation 4sin^(2)x+tan^(2)x+cot^(2)x+cosec^(...

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  18. The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin ...

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  19. The number of values of x in the interval [0,5pi] satisfying the equat...

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  20. The set of values of x for which sinx cos^(3)x gt cos x sin^(3)x,0le x...

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