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Let A and B denote the statements A:co...

Let A and B denote the statements
`A:cos alpha+ cos beta+cos gamma=0`
`B:sin alpha+sin beta+singamma=0`
If `cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-(3)/(2)`, then

A

`sin^(2)alpha + sin^(2)beta + sin^(2)gamma = 3/2`

B

`sin^(2)alpha+ sin^(2)beta+ sin^(2)gamma =3/4`

C

`cos^(2)alpha + cos^(2)beta + cos^(2)gamma =3/2`

D

`cos2alpha + cos2beta + cos2gamma =-1`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
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  2. Let a and b be real numbers such that sina + sinb =1/sqrt(2), cosa + c...

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  3. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

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

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

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

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  7. If sin theta + sqrt(3) cos theta = 6x - x^(2) - 11, 0 le theta le 4 p...

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

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  9. (1-tanx)/(1+tanx)=tanyandx-y=pi/6,t h e nx , y

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

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

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  12. Prove that sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

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  13. Find the coordinates of the points of intersection of the curves y=cos...

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

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

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  16. The solution set of sin 3theta + cos 2theta = 0 iss

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

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  18. (m+2)sin theta+(2m-1)cos theta=2m+1, if

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

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  20. In a triangle ABC

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