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The expression (cos 6x+6cos 4x+15 cos...

The expression
`(cos 6x+6cos 4x+15 cos 2x+10)/(cos 5x+5 cos 3x+10 cos x)`

A

`cos 2x`

B

`2 cos x`

C

`cos ^(2) x`

D

`1+ cos x`

Text Solution

Verified by Experts

The correct Answer is:
C
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The expression (cos6x+6cos4x+15cos2x+10)/(cos5x+5cos3x+10cos x) is equal

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TARGET PUBLICATION-FACTORIZATION FORMULAE-CRITICAL THINKING
  1. cos 10x + cos 8x + 3 cos 4x + 3 cos 2x=

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  2. 1+ cos 2x+ cos4x + cos 6x=

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  3. The expression (cos 6x+6cos 4x+15 cos 2x+10)/(cos 5x+5 cos 3x+10 co...

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  4. If sin theta+sin2theta+sin3theta=sin alpha and cos theta+cos 2theta+co...

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  5. If cosx+cosy+cosalpha=0 and sinx+siny+sinalpha=0 then cot((x+y)/2)=

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  6. (cos A+ cos B) ^(2) + (sin A-sin B) ^(2) is equal to

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  7. cos ^(2) alpha + cos ^(2) (alpha + 120^(@)) + cos ^(2) (alpha - 120^(@...

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  8. If (" cos " (A+B))/(" cos " (A-B)) =(" sin " (C+D))/(" sin " (C -D))...

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  9. (sin^2A- sin^2B)/( sin A cos A-sin Bcos B) =tan(A+B)

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  10. The value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)...

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  11. If cos A=3/4 then the value of sin(A/2) sin((5A)/2) is

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  12. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

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  13. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =

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  14. Prove that tan 20^(@) tan 40^(@) tan 80^(@)=tan 60^(@)

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  15. The value of (tan 70^(@) - tan 20^(@))/( tan 50^(@))=

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  16. The value of tan20^(@)+2 tan50^(@)-tan70^(@), is

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  17. cosec 48^(@) + cosec 96^(@) + cosec 192^(@) + cosec 384^(@)=

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  18. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

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  19. The expression cos^(2)(A-B)+cos^(2)B-2cos(A-B)cosAcosB is

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  20. If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-

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