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Find all number x , y that satisfy the equation `(sin^2 x +(1)/( sin^(2) x))^(2)+( cos^(2)x+(1)/(cos^(2)x))^(2)=12+(1)/(2) siny. `

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The correct Answer is:
`x=(2m+1)(pi)/(4) and y=2n pi +(pi)/(2) , n in I `
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
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  6. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

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  7. Find all the solution of x,y in the equation 4(3sqrt(4x-x^(2))sin^(2...

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

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

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

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

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

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

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

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

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

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

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

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  19. Show that the equation , sec theta + "cosec" theta = c has two roots...

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  20. Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|...

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