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Solve sinx+siny=sin(x+y)a n d|x|+|y|=1...

Solve `sinx+siny=sin(x+y)a n d|x|+|y|=1`

A

2

B

4

C

6

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

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  2. If alpha and beta are the solutions of the equation atan theta+ b s...

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  3. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

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  4. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

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  5. The equation K-sin theta+ cos 2theta= 2k-7 possesses a real solution i...

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  6. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

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  7. If y + "cos" theta = "sin" theta has a real solution, then

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  8. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

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  9. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

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  10. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

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  11. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

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  12. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

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  13. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

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  14. If "sec" theta "tan" theta =sqrt(2),"then" theta=

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  15. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

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  16. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

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  17. The number of values of x in [0, 5 pi] satisfying the equation 3"cos" ...

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  18. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

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  19. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

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  20. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

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