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If x is an acute angle and sin (x + 28^(...

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

A

`248^(@)` or `112^(@)`

B

`35^(@)` or `8^(@)`

C

`46^(@)` or `7^(@)`

D

`265^(@)` or `119^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The solution set of cos 2theta = (sqrt(3)-1)/(2sqrt(2)) is

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If cosec^(2)theta - 3cosec theta + 2 = 0 then theta =

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  15. If 4cos^(2)x sin x - 2 sin^(2)x=3sinx, then x =

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  16. If r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta l...

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  17. If alpha is a root of 25 cos^(2)theta + 5 cos theta - 12 =0, (pi)/(2) ...

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  18. The solution set of (5+4 cos theta) (2 cos theta + 1) =0 in the interv...

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  19. If sin^(2)x - cos x = 1//4 then the values of x in (0, 2pi) are

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  20. If 2cos^(2)theta + cos theta -1 =0 then theta =

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