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Find the value of sin^(2)42^(@)-sin^(2)1...

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

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The correct Answer is:
`(sqrt(5)+1)/8`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. Evaluate 6 sin 20^(@) - 8 sin^(3)20^(@).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. For what values of A in the first quardrant, the expression (cot^(3)A-...

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  20. Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A.

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