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Find the number of solution of the equat...

Find the number of solution of the equations
`|cos x |=[x]`, (where [.] denotes the greatest integer function ).

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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
  1. Find the number of solution of the equations sin^3 x cos x + sin^...

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  2. Find the number of solution of the equations 2^(cos x)=|sin x|, w...

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  3. Find the number of solution of the equations |cos x |=[x], (where ...

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  4. Find the number of solution of the equations x+ 2 tan x =(pi)/(2),...

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  5. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for (a) -5/2lt=a...

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  6. If 32tan^3theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the gene...

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  7. Solve the following system of simultaneous equation for x a n d ydot ...

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  8. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

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  9. Find dy/dx if 3x-5y=secx

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  10. Solve for x and y , 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y).

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  11. Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y co...

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  12. Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)...

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  13. Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

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  14. Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

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  15. Solve (log(sin x)2)(log(sin^(2)x)a)=-1 stating any condition on a' tha...

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  16. Cosider the equation int(0)^(x) (t^(2)-8t+13)dt= x sin (a//x) where ...

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  17. If tanx=b/a, find the value of (acos2x+bsin2x).

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  18. Find all number of pairs x,y that satisfy the equation tan^(4) x + tan...

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  19. Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos...

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  20. For x in (-pi, pi) find the value of x for which the given equation (s...

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