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Find all the pairs of x,y that satisfy the equation `cosx+cosy+cos(x+y)=-3/2`

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The correct Answer is:
`x=2 mpi pm (2pi)/3 and y=2(m-n) pi pm (2pi)/3,m,n in I `
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
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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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  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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