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If cosx + cosy + cosz = 0 "and" sinx + s...

`If cosx + cosy + cosz = 0 "and" sinx + siny + sinz =0, "then show that"`
`cos (x-y) + cos(y - z) + cos(z - x) = - 3/2.`

A

`cos x cos ycosz=1`

B

`cos x+cosy+cos z=0`

C

`sinx+siny+sinz=1`

D

`cos 3x+cos3y+cos3z=12 cosx cosy cosz`

Text Solution

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The correct Answer is:
B, D
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VK JAISWAL-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct
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  4. If 0 lt x lt (pi)/(2) and sin^(n)x+cos^(n)x ge 1, then 'n' may belong ...

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  9. If alpha=sin x cos^(3) x and beta=cos x sin^(3) x, then :

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  10. If (pi)/(2) lt theta lt pi, then possible answers of sqrt(2+sqrt(2+2c...

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  11. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following i...

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  12. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

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  13. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

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  15. If A, B, C are angles of Delta ABC and tan A tan C = 3, tan B tan C =...

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  16. The value of (sin x-cos x)/(sin^(3)x) is equal to :

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  17. If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

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  19. If sqrt(2) cos A=cosB+cos^(3)B, and sqrt(2)sinA=sinB-sin^(3)B then si...

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