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3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alph...

`3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)(pi//2+alpha)+sin^(6)(5pi-alpha)]=`

A

0

B

1

C

3

D

none of these

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The correct Answer is:
B
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AAKASH SERIES-TRIGONOMETRIC RATIOS-ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)
  1. 3[sin^(4)(3pi//2-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)(pi//2+alpha)+sin...

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  2. If ABCD is a cydic quadrilateral such that 12 tan A - 5 = 0 and 5 co...

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  3. tanA = a tanB, sinA = bsinB rArr (b^(2) - 1)/(a^(2) - 1) =

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  4. If sec theta + cos theta = 2 then sin^(2) theta + tan^(2) theta=

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  5. If theta = (11pi)/(6). Then cos theta + sin theta =

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  6. a = sec theta - tan theta and b=cosectheta+cottheta rArr a =

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  7. If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+...

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  8. If m cos^(2) A + n sin^(2) A = p, then cot^(2) A=

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  9. x = tan theta + cot theta, y = cos theta - sin theta rArr

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  10. If (sintheta-costheta+1)/(sintheta+costheta-1)=(x)/(tantheta-sectheta+...

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  11. sin x + sin^(2) x + sin^(3) x = 1 rArr cos^(6) x - 4cos^(4) x + cos^(2...

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  12. cos theta + cos^(2) theta = 1, cos theta + cos^(2) theta = 1 + d sin^(...

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  13. cosA, sinA, cotA are in GP then tan^(6) A - tan^(2) A =

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  14. If e^((1+sin^(2)x+sin^(4)x+...oo)log2)=16, then tan^(2)x =

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  15. If 0 le x le pi, 4^(sin^(2)) + 4 ^(cos^(2)x) = 5, then x =

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  16. If sin beta is the G.M between sin alpha and cos alpha then (cos alpha...

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  17. If x = a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) thea ...

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  18. If sin theta and theta are the roots of px^(2) + qx + r = 0 then q^(2)...

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  19. If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

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  20. If sin theta + cos thea = m and sec theta+ cosec theta = n, then n (m...

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  21. If m= a Cos^(3) theta + 3a Cos theta Sin^(2) theta and n=a Sin^(3) the...

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