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If a is any real number, the number of r...

If a is any real number, the number of roots of cot x - tan x = a in the first quadrant is

A

2

B

0

C

1

D

none of these

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If 3 tan (theta - 15^(@))=tan (theta + 15^(@)), 0 lt theta lt pi then ...

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  2. The smallest value of 'theta' satisfying the equation sqrt(3) (cot the...

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  3. If a is any real number, the number of roots of cot x - tan x = a in t...

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  4. If sin A = sin B and cos A = cos B then A =

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  5. For what values of x in the first quadrant (2 tan x)/( 1- tan ^(2) x) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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