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The most general value of theta satisfie...

The most general value of `theta` satisfies both the equations `tan theta = -1` and `cos theta = (1)/(sqrt(2))` is

A

`n pi + 7(pi)/(4)`

B

`2n pi + (7pi)/(4)`

C

`n pi + (-1)^(n)(7pi)/(4)`

D

`(7n pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The most general value of theta satisfying both the equations sin thet...

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  2. The solution set of cot theta = - sqrt(3), cosec theta = 2 is

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  3. The most general value of theta satisfies both the equations tan theta...

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  4. The solution set of sin 2theta = -1//sqrt(2) is

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  5. The solution set of 4 sin theta cos theta = 1 is

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  6. The solution set of sin 3 theta = (sqrt(10 + 2sqrt(5)))/(4) is

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  7. The solution set of cos 3theta = (sqrt(5)+1)/(4) is

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  8. The solution set of cos 2theta = (sqrt(3)-1)/(2sqrt(2)) is

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  9. The solution set of sec theta = 2 cos theta is

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  10. If x is an acute angle and sin (x + 28^(@))=cos (3x - 78^(@)), then x ...

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  11. The general solution of 2 sin^(2)theta - sin theta - 1 = 0 is

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  12. If sin^(10) x - cos^(10)x=1 then x =

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  13. The number of roots of the equation 2 sin^(2)theta + 3 sin theta + 1 =...

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  14. If sqrt(sin x)+ cos x = 0 then sin x =

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  15. If 2sin x + cosec x = 3 then theta =

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  16. If cos^(2)theta - sin theta = 1//4 then theta =

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  17. If 4 cos theta - sec theta = 4 tan theta then theta =

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  18. If 3 cos 2theta + 2 = 7 sin theta then theta =

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  19. {x in IR : cos 2x + 2 cos^(2) x - 2 = 0}=

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  20. If 4sin^(2)x-2 (1+sqrt(3))sin x + sqrt(3)=0 then theta =

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