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cos^(3) theta + cos^(3) ( 120^(@) +theta...

`cos^(3) theta + cos^(3) ( 120^(@) +theta ) + cos^(3) (120^(@) - theta )= `

A

`(3)/4 sin 3 theta `

B

`3/4 cos 3 theta `

C

`3/4 tan 3 theta `

D

`3/4 cot 3 theta `

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. sin^(2) theta + sin^(2)(60^@ + theta ) + sin^(2)(60^(@) - theta ) =

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

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  3. cos^(3) theta + cos^(3) ( 120^(@) +theta ) + cos^(3) (120^(@) - theta ...

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  4. sin^(2) 20^(@) + sin^(2) 100^@ + sin^(2) 140^(@) =

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  5. cos^(3) 20^(@) + cos^(3) 100^(@) + cos^(3) 140^(@) =

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  6. cos^(2)(theta-45^(@))+cos^(2)(theta+15^(@)-cos^(2)(theta-15^(@))=

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  7. If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , th...

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  9. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

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  10. tan ""7(1^@)/(2)=

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  11. tan 82(1^(@))/(2)=

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  12. If sin 18^(@)=(sqrt(5)-1)/(4) , then sin 81^(@)=

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  13. Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

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  14. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  15. Prove that sqrt3 csc 20 ^(@)- sec 20^(@)=4

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