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Evaluate 6 sin 20^(@) - 8 sin^(3)20^(@)....

Evaluate `6 sin 20^(@) - 8 sin^(3)20^(@)`.

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The correct Answer is:
`sqrt(3)`
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sin 20^(@) (4 + sec 20^(@)) =

If A=6 sin20^(@) - 8 sin^(3) 20^@ , B= 8 cos^(3) 20^(@)-6 cos 20^(@) and C= ( sin 3 theta )/( sin theta ) - ( cos 3 theta )/( cos theta ) then

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8 cos^(3) 20^(@) -6 cos 20^(@) =

tan20^(0)+4 sin20^(0)=

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. Simplify (sin2theta)/(1+cos2theta)

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  2. Simplify (3chiosigmatheta+chiosigma3theta)/(3sigmatauvtheta-sigmatau...

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  3. Evaluate 6 sin 20^(@) - 8 sin^(3)20^(@).

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  4. Find the value of cos^(2)72^(@) - sin^(2) 54^(@).

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  5. Find the value of sin^(2)42^(@)-sin^(2)12^(@).

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  6. Express (sin 4 theta)/(sin theta) in terms of cos^(3)theta, cos theta.

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  7. Express cos^(6)A + sin^(6)A interms of sin 2A.

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  8. Express (1-costheta+sin theta)/(1+cos theta + sin theta) in terms of t...

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  9. If sin alpha =(3)/(5) , where (pi)/(2) lt alpha lt pi , evaluate cos ...

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  10. If cosA=7/25 and (3pi)/2 lt A lt 2pi, then find the value of cotA//2.

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  11. If 0 lt theta lt (pi)/8, show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) ...

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  12. Find the extreme values of cos 2x+cos^2x

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  13. Find the extreme values of 3sin^(2)x+5cos^(2)x.

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  14. If a le cos theta + 3sqrt(2) sin [theta + (pi)/4] + 6 le b, find large...

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  15. Find the periods for the following functions. cos^(4)x

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  16. Find the periods for the following functions. 2sin[(pixi)/4]+3cos[(p...

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  17. Find the periods for the following functions. sin^(2)x+2cos^(2)x

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  18. Find the periods for the following functions. 2sin[pi/4+xi]cosx

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  19. Find the periods for the following functions. (5sigmatauvxi+3chiosig...

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  20. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

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