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Prove that 1-1/2sin2x=(sin^(3)x+cos^(3)x...

Prove that `1-1/2sin2x=(sin^(3)x+cos^(3)x)/(sinx+cosx)`

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The correct Answer is:
`1-1/2 sin 2x`
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NCERT TAMIL-TRIGONOMETRY-EXERCISE 3.12
  1. Prove that 1-1/2sin2x=(sin^(3)x+cos^(3)x)/(sinx+cosx)

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  2. 1/(cos 80^(@))-(sqrt(3))/(sin80^(@))=

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  3. If cos 28^(@)+sin28^(@)=k^(3) then cos 17^(@) is equal to

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  4. The maximum value of 4sin^(2)x+3cos^(2)x+"sin"x/2+"cos"x/2 is

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  5. (1+"cos"(pi)/8)(1+"cos"(3pi)/8)(1+"cos"(5pi)/8)(1+"cos"(7pi)/8)=

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  6. If pilt 2 theta lt (3pi)/2 then sqrt(2+sqrt(2+24theta) equals to

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  7. If tan 40^(@)=lamda then (tan 140^(@)-tan 130^(@))/(1+tan 140^(@)tan 1...

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  8. cos1^(@)+cos2^(@)+cos3^(@)+…………..+cos 179^(@)=

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  9. Let f(x)(x)=1/k[sin^(k)x+cos^(k)x] where x in R and kge1. Then f(4)(x)...

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  10. Which of the following is not true?

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  11. cos 2 theta cos 2 phi +sin^(2)(theta-phi)-sin^(2)(theta+phi) is equal ...

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  12. (sin(A-B))/(cosAcosB)+(sin(B-C))/(cosBC)+(sin(C-A))/(cosCcosA) is

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  13. If cos p theta+cos q theta=0 and if p!=q, then theta is equal to (n is...

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  14. If tan alpha and tan beta are the roots of x^(2)+ax+b=0 then (sin (alp...

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  15. In a triangle ABC sin^(2)A+sin^(2)B+sin^(2)B+sin^(2)C=2, then the tria...

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  16. If f(theta)=|sin theta|+|cos theta|, theta in R then f(theta) is the i...

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  17. (cos 6x+6cos 4x+15cos 2x+10)/(cos 5x+5cos3x+10cosx) is equal to

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  18. The triangle of maximum area with constant perimeter 12 m

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  19. A wheel is spinnig at 2 radians/second. How many seconds will it take ...

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  20. If sin alpha+cos alpha=b then sin 2 alpha is equal to

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  21. In a DeltaABC if (i) "sin"A/2"sin"B/2"sin"C/2gt0 (ii) sinAsinBsinC...

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