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Show that sin12^o sin48^o sin54^o =1/8....

Show that `sin12^o sin48^o sin54^o =1/8`.

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PREMIERS PUBLISHERS-TRIGONOMETRY-SOLUTION TO EXERCISE 3.6
  1. Express each of the following as a sum or difference. sin 4x cos 2x

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  2. Express each of the following as a sum or difference. 2 sin 10theta c...

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  3. Express each of the following as a sum or difference. cos 5theta cos ...

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  4. Express each of the following as a sum or difference. sin 5 theta sin...

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  5. Express each as a product sin 75^(@) - sin 35^(@)

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  6. Express each as a product cos 65^(@) + cos 15^(@)

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  7. Express each as a product sin 50^(@) + sin 40^(@)

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  8. Express each as a product cos 35^(@) - cos 75^(@)

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  9. Show that sin12^o sin48^o sin54^o =1/8.

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  10. Show that cos (pi)/(15) cos""(2pi)/(15) cos"" (3pi)/(15) cos"" (4pi)/(...

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  11. Show that (sin8xcosx-sin6xcos3x)/(cos2xcosx -sin3xsin4x)=tan2x

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  12. Show that [(costheta -cos3theta)(sin8theta+sin2theta)]/[(sin5theta -si...

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  13. Prove that sinx +sin2x +sin3x =sin2x (1+2cosx).

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  14. Prove that (sin4x+sin2x)/(cos4x+cos2x)=tan3x

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  15. Prove that 1+cos2x+cos4x+cos6x=4cosxcos2xcos3x.

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  16. Prove that sin (theta)/(2) sin"" (7 theta)/(2) + sin ""(3theta)/(2) si...

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  17. Prove that cos(30^(@) -A ) cos (30^(@) + A ) + cos (45^(@) - A) cos (4...

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  18. Prove that (sinx+sin3x+sin5x+sin7x)/(cosx+cos3x+cos5x+cos7x)=tan4x

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  19. Prove that (sin (4A - 2B) + sin (4B - 2A))/(cos (4A - 2B) + cos (4B - ...

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  20. Show that cot ( A + 15^(@)) - tan (A - 15^(@)) = (4 cos 2 A)/(1 + 2 si...

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