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cos theta + cos (240^(@) + theta ) + cos...

`cos theta + cos (240^(@) + theta ) + cos (240^(@)- theta )=`

A

0

B

1

C

`1//4`

D

3//4`

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The correct Answer is:
A
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cos theta + cos (120^(@) + theta ) + cos (120^(@) - theta )=

cos theta - cos (60^(@) + theta ) - cos(60^(@) - theta )=

cos theta cos (60^(@) + theta ) * cos (60^(@) - theta ) =

I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)) then xy+ yz+ zx=1 II : cos alpha + cos (120^(@) + alpha ) + cos (120^@ - alpha ) =0

Show that cos theta+cos(120^(@)+theta)+cos(240^(@)+theta)=0

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If tan beta = 2 sin alpha sin gamma " cosec "(alpha + gamma) , then ...

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  2. cos theta + cos (120^(@) + theta ) + cos (120^(@) - theta )=

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  3. cos theta + cos (240^(@) + theta ) + cos (240^(@)- theta )=

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  4. sin theta + sin (120^(@) + theta ) + sin ( theta - 120^(@))=

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  5. cos theta - cos (60^(@) + theta ) - cos(60^(@) - theta )=

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  6. cos 20^(@) + cos 100^(@) + cos 140^(@) =

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  7. sin 40^(@) - sin 80^(@)+ sin 160^(@)=

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  8. If A+B+C=0 , then tan A+ tan B+ tan C=

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  9. If A+B+C=0 , then cot A cotB + cot B cot C+ cot C cot A =

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  10. If A+C=B then tan A* tan B * tan C=

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  11. If A+B+C = pi //2 , then tanA tanB + tanB tanC+ tan A tan C=

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  12. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

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  13. If ABC are angle of a triangle then prove that cot Acot B+ cot Bcot C+...

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  14. If A+ B+C= pi//2 , " then " tan 2A + tan 2B+ tan 2C=

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  15. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

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  16. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

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  17. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  18. In Delta ABC, cos A + cos (B-C)=

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  19. In Delta ABC, sin A + sin (B-C)=

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