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The solutions of the system of equations...

The solutions of the system of equations `x+y=2pi//3` and `cos x + cos y = 3//2` where x and y are real, are

A

`{(x.y):cos((x-y)/(2))=(1)/(2)}`

B

`{(x.y):sin((x-y)/(2))=(1)/(2)}`

C

`{(x.y):cos(x-y)=(1)/(2)}`

D

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The correct Answer is:
D
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
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  2. Observe the following statements Assertion (A) : The general solutio...

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  3. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

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  4. When a is irrational, the number of solutions satisfying the equation ...

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  5. Assertion (A) : if 2sin^(2)((pi)/(2)cos^(2)x)=1-cos(pisin2x), xne(...

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  6. Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

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  7. If sqrt(3)costheta-sintheta is positive and thetain(-pi,pi) then the v...

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  8. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  9. The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(...

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  10. If 0lexle2pi,0leyle2piandsinx+siny=2 then x+y =

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  11. If tan alpha = m//(m+1), tan beta =1//(2m + 1), then alpha + beta =

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  12. If log(2)sinx-log(2)cosx-log(2)(1-tan^(2)x)=-1 then x =

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  13. If theta(1) and theta(2) are two solutions of the equation a cos2theta...

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  14. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

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  15. The number of solutions of sin(e^(x))=x+(1)/(x) is

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  16. The maximum integral values of a for which the equation cos2x+asinx=2a...

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  17. The number of solutions of secxcos5x+1=0 in the interval [0,2pi] is

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  18. The values of 'theta' satisfying sin5theta=sin3theta-sintheta and 0l...

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  19. (x+1)/((x-1)^(2)(x-2))=

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  20. The solutions of the system of equations x+y=2pi//3 and cos x + cos y ...

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