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

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

A

`n pi + pi//2`

B

`n pi+pi//3`

C

`n pi - pi//4`

D

`n pi+pi//4`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. For what values of x in the first quadrant (2 tan x)/( 1- tan ^(2) x) ...

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  2. The set of values of x, for which (tan 3x - tan 2x)/(1+tan 3x tan 2x)=...

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

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  4. If tan (pi//4 + theta) + tan (pi//4 - theta) = 4, then theta =

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  5. If tan^(2)x + cot^(2) x = 2, then x =

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  6. The general solution of tan^(4) theta + cot^(4) theta = 0 is

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  7. If cot theta - tan theta = 2, then theta =

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  8. If 8 sin^(2)theta + 10 sin thetacos theta - 3 cos^(2) theta = 0 then t...

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  9. If 3 cos^(2) theta - 2sqrt(3) sin theta cos theta -3 sin^(2) theta = 0...

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  10. If sin^(3) x + sin x .cos x + cos^(3) x = 1 then x =

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  11. If 2-cos^(2)theta = 3 sin theta cos theta then theta =

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  12. If 1+sin^(2)theta = 3 sin theta cos theta, then theta =

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  13. If tan^(2)theta = 3 cosec^(2)theta - 1 then theta =

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  14. If cos m theta = sin n theta, then theta =

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  15. If cos theta + sqrt(3) sin theta = 2 then theta =

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  16. The equation sqrt(3)sin x + cos x = 4 has

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  17. If sqrt(3) cos theta - sin theta = 1 then theta =

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  18. If sqrt(3) cos theta + sin theta = sqrt(2), then theta =

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  19. The set of solutions of the equation (sqrt(3)-1)sin theta + (sqrt(3) +...

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  20. If sec x - cosec x = 2sqrt(2) then theta =

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