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If sin A + cos A =m then sin ^6 ...

If ` sin A + cos A =m ` then ` sin ^6 A + cos ^6 A ` is

A

`(4-3(m^2 -1)^2)/(4)`

B

`(4+3(m^2 -1)^2)/(4)`

C

`(3+4(m^2 -1)^2)/(4)`

D

`(3-4(m^2 -1)^2)/(4)`

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. The minimum value of 7 cos theta + 24 sin theta is

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  2. sec ((pi)/(4) + theta ) . Sec ((pi)/(4) - theta ) is equal to

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  3. If sin A + cos A =m then sin ^6 A + cos ^6 A is

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  4. (cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

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  5. If (sin (A+B))/( sin (A-B )) = (x+y)/(x-y) , then x/y

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  6. Let 0 lt a lt 1. if tan A =a and tan B= (1-a)/(1+a) then a possi...

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  7. (sin ^2 3A )/( sin ^2 A ) -( cos^2 3A )/(cos ^2 A ) is

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  8. If cos A = 3/4 then sin ""(A) /(2 ) . Sin 5 (A)/(2) is

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  9. cos A + cos ( 120 ^@+A ) + cos ( 120^@ -A ) is

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  10. cos ^3 A + cos^3 (120 +A ) + cos ^3 (120 - A) is

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  11. cos A .cos (120^@ +A ) . Cos (120 ^@ -A ) is

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  12. tan 6^@ . Tan 42^@. Tan 66^@ . Tan 78^@ is

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  13. tan 3A - tan 2A - tan A is

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  14. IF tan 18^@ and tan 27^@ are the roots of ax^2 - bx +c=0 then

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  15. If sin theta + cos theta theta = sqrt(2) cos theta then cos t...

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  16. If sin A , cos A , tan A are in G.P then cot ^6 A - cot^2 A ...

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  17. IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha)...

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  18. If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha ...

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  19. IF 11 theta = pi then cos theta . cos 2 theta . cos 3 theta c...

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  20. IF cos ( alpha + beta ) =0 then sin ( alpha + 2 beta ) is eq...

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