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Let a and b be real numbers such that si...

Let a and b be real numbers such that sina + sinb `=1/sqrt(2)`, cosa + cosb `=sqrt(3)/2`, then

A

`cos(a-b)=1`

B

cos(a-b)=0

C

sin(a+b) =`sqrt(3)/2`

D

`sin(a-b)=1`

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The correct Answer is:
B, D
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
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  2. If the sides of a right angled triangle are {cos 2 alpha + cos 2 bet...

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  3. Let a and b be real numbers such that sina + sinb =1/sqrt(2), cosa + c...

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  4. If cosalpha + cosbeta + cosgamma =0= sinalpha + sinbeta + singamma, th...

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  5. If 4costheta-3sectheta=2tantheta, then theta is equal to

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  6. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

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  7. If sintheta= a for e xactly one value of theta in [0,(7pi)/3], then ...

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  8. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

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  9. Solve the equation sinx + sqrt(3)cosx=sqrt(2)

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  10. (1-tanx)/(1+tanx)=tanyandx-y=pi/6,t h e nx , y

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  11. The possible value of theta in [-pi, pi] satisfying the equation 2(co...

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  12. The number of all possible triplets (p, q, r) such that p + qcos2theta...

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  13. sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

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  14. The co-ordinates of points of intersection of the curves y = cosx and ...

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  15. A value of theta satifying 4costheta sintheta - 2sintheta =0 is

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  16. The equation sinx+sin2x+2sinxsin2x=2cosx+cos2x is satisfied by values ...

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  17. The solution set of sin 3theta + cos 2theta -2=0 is

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  18. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

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  19. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

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  20. In a triangle ABC,a/b=2+sqrt(3) and /C=60^(@) then angle A and B is

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