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sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan...

`sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan^(2)""(3pi)/4=`

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The correct Answer is:
`1/2`
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Evaluate (ii) sin^(2). (2pi)/(3) + cos^(2). (5pi)/(6) - tan^(2). (3 pi)/(4)

cos^(2)""(3pi)/(5)+cos^(2)""(4pi)/(5)=

sin ^(2) " (pi)/(6) + cos ^(2) "" (pi)/(3) - tan ^(2) " (pi)/(4) =- 1/2

cos^(2)""(pi)/(5)+ sin^(2)""(4pi)/(5)=

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(A)
  1. Find the value of each of the following. cot(-315^(@))

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  2. Evaluate cos^(2)45^(@)+cos^(2)135^(@)+cos^(2)225^(@)+cos^(2)315^(@).

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  3. sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan^(2)""(3pi)/4=

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  4. Evaluate. cos225^(@)-sin225^(@)+tan495^(@)-cot495^(@)

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  5. Evaluate (iv) (cos theta - sin theta) if (a) theta = (7 pi)/(4) (...

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  6. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

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  7. If cos theta = t(0lt t lt 1) and theta does not lies in the first qua...

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  8. Find sin330^@.cos120^@+ cos210^@.sin300^@

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  9. If cosec theta + cot theta =1//3, then find cos theta and determine th...

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  10. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

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  11. If sec theta + tan theta =5, then find sin theta and determine the qu...

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  12. Prove that sin 780^(@) sin 480^(@)+cos240^(@). Cos300^(@) = 1/2

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  13. Show that cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)...

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  14. Simplify. (sigmatauv(-(11pi)/3)taualphav((35pi)/6)sigmaepsilonchi(-(...

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  15. If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-...

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  16. If alpha , beta are complementry angles such that bsin alpha = a, the ...

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  17. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

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  18. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

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  19. If A, B, C, D are angles of a cyclic quadrilateral then P.T sin A - s...

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  20. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

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