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

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

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The correct Answer is:
`1-3/4 sin^(2)2A`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. Find the expansion of sin(A+B+C).

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  2. Prove that sin ^(2) ((pi)/(8)+(A)/(2)) - sin ^(2) ((pi)/(8) - (A)/(2))...

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

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  4. Simplify tan ((pi)/(4) +A) tan ((pi)/(4)-A)

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  5. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

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  6. Find tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@).

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  7. Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan th...

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

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  9. Simplify (cot 55^(@)cot35^(@)-1)/(cot55^(@)+cot35^(@))

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  10. Express ((sqrt(3)cos 25^(@)+sin25^(@)))/(2) as a sine of an angle.

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  11. Expres sqrt3 sin 0 + cos 0 as a sine of an angle .

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  12. Express (cos theta - sin theta) as a cosine of an angle.

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  13. Express tan theta in terms of tan alpha, if sin (theta + alpha) = cos ...

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

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  15. Prove that (sin70^(@)-cos40^(@))/(cos50^(@)-sin20^(@)) = 1/(sqrt(3)).

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  16. Prove that sin 78^(@) + cos132^(@) = (sqrt(5)-1)/(4).

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  17. Prove that sin21^(@)cos9^(@)-cos84^(@)cos6^(@)=1/4.

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  18. Find the value of sin 34^(@) +cos 64^(@)- cos 4^(@)

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  19. Prove that sin50^(@)-sin70^(@)+sin10^(@)=0

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  20. Prove that 4(cos66^(@)+sin84^(@)) = sqrt(3) + sqrt(15).

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