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If 0 le theta lt pi/2 and costheta + sqr...

If `0 le theta lt pi/2` and `costheta + sqrt(3) sin theta =2`, then what is the value of `theta` ?

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

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The correct Answer is:
A
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LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. If 0 le theta lt pi/2 and p= ssec^(2)theta then which one of the follo...

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  2. In a triangle ABC, angleABC = 90^(@), angleACB = 30^(@), AB= 5 cm. Wha...

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  3. If 0 le theta lt pi/2 and costheta + sqrt(3) sin theta =2, then what ...

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  4. Suppose ABC is a right angled triangle with right angled at C . If len...

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  5. ABC is a right triangle with right angle at A. If the value of tan B =...

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  6. If alpha is an acute angle and sinalpha = sqrt((x-1)/(2x)), then what ...

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  7. If theta is in first quadrant and costhetage(1)/(2) then which one of ...

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  8. What is the value of cos1^(@) cos2^(@)cos3^(@).....cos270^(@) ?

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  9. IF A=pi//6 and B=pi//3 then which of the following is/are correct? 1...

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  10. If sin17^(@)=(a)/(b) then value of sec17^(@)-sin73^(@) is

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  11. Assume the Earth to be a sphere of radius R. What is the radius of the...

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  12. If (cosectheta+sintheta)/(cosectheta-sintheta)=(5)/(3) and 0^(@)ltthet...

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  13. Choose the correct statement :

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  14. Given below are respectively base and hypotenuse of four right angle t...

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  15. Consider the following statements about the expression sin^(3)theta+2s...

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  16. Consider right angled DeltaABC with /B=90^(@) . If /ACB=60^(@) , then ...

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  17. In DeltaABC, /ABC=60^(@) and AD is perpendicular from A to BC . If AB=...

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  18. If 0^(@)lethetale90^(@) then for any value of theta which one is corre...

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  19. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

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  20. If sin theta+cosec theta=2 then value of sin^(4)theta+cos^(4)theta ?

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