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If tan theta + tan (pi//3+theta)-tan(pi/...

If `tan theta + tan (pi//3+theta)-tan(pi//3-theta)=3` then `theta =`

A

`(n pi)/(3) : n in Z` or `n pi pm Tan^(-1)(1//sqrt(2)) : n in Z`

B

`(n pi)/(3)+(-1)^(n)(pi)/(6) : n in Z`

C

`(2n pi)/(3)pm(pi)/(9) : n in Z`

D

`(4n+1)(pi)/(12): n in Z`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If tan theta + tan 2theta + tan 3theta = 0 then theta =

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  2. If tan theta + tan 2theta = tan 3theta, then theta =

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  3. If tan theta + tan (pi//3+theta)-tan(pi//3-theta)=3 then theta =

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  4. The solution of sin 2 theta + cos 2theta + sin theta + cos theta + 1 =...

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  5. If cos 3x + cos 2x = sin (3x//2)+sin(x//2), 0 le x le 2pi, then x =

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  6. The solution set of sin 2theta - cos 2theta - sin theta + cos theta = ...

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  7. If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

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  8. If sin[(pi)/(4)cot theta]=cos[(pi)/(4)tan theta] then theta =

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  9. If tan((pi)/(2) sin theta)=cot((pi)/(2)cos theta) then sin(theta +(pi)...

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  10. If tan(picostheta)=cot(pisintheta), then prove that cos(theta-(pi)/(4...

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  11. If tan(cot x) = cot (tan x), then sin 2x =

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  12. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

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

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

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  15. If x + y = 2pi//3 and cos x + cos y = sqrt(3)//2, then x, y =

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  16. The smallest positive real value of p for which the equation cos (p si...

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  17. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

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  18. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

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

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  20. The equation e^(sin x)-e^(-sin x)-4=0 has

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