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If sqrt3 cos theta + sin theta = sqrt2, ...

If `sqrt3 cos theta + sin theta = sqrt2,` then the general value of `theta `is-

A

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

B

`npi + (-1) ^(n) (pi)/(4) + (pi)/(3)`

C

`n pi + (pi)/(4) -(pi)/(3)`

D

`n pi + (-1) ^(n) (pi)/(4) -(pi)/(3)`

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 7
  1. The value of (sin ^(6)theta + cos ^(6) theta + 3sin^(2) theta cos ^(2)...

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  2. If sqrt3 cos theta + sin theta = sqrt2, then the general value of thet...

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  3. One angle of a triangle is 120^(@) and length of three sides. Are in A...

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  4. The value of (cos 15^(@) -sin 15^(@)) is-

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  5. If sin alpha =sin beta and cos alpha = cos beta, then which obne of t...

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  6. If tan alpha =(1+2^(-x))^(-1) and tan beta =(1+2^(x+1))^(-1) then the...

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  7. If x gt 0 and alpha lt (pi)/(2) then (sqrt(x^(2) +x)+ (tan ^(2) alpha)...

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  8. The value of (cosec 2 theta -cot 2 theta) is-

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  9. If x+1/x =2 cos theta, then (x^(3) + (1)/(x^(3)))is equal to-

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

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  11. If sin theta =(24)/(25) and 0^(@) lt theta 90^(@), then the value of s...

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  12. let A, B, C are angles of a triangle and tan ""A/2=1/3,tan ""B/2=2/3, ...

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  13. The period of the function f(x) =sin 2x is-

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  14. If A+B+C=pi, then the value of (tan ""A/2 tan ""B/2+tan ""B/2 tan ""C...

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  15. If 0 le x le (pi)/(2) and 81^(sin ^(2)x)+81^(cos^(2) x)=30, then the v...

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  16. If sin theta =12/13 (0 lt theta lt (pi)/(2)) and cos phi =-3/5 (pi lt ...

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  17. Minimum value of (16 tan ^(2) theta +25 cot ^(2) theta) is-

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  18. The equation a cos theta + b sin theta =c has a solution when a, b anc...

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  19. If sin ^(3) x sin 3x= sum (m=0)^(n) c(m) cos mx is an identity in x, w...

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  20. The value of [cos (270^(@) +theta)cos (90^(@) -theta)-sin (270^(@) -th...

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