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If e^((sin^(2)+sin^(4)x+sin^(6)x+...oo)l...

If `e^((sin^(2)+sin^(4)x+sin^(6)x+...oo)log2)=8and0ltxlt(pi)/(2)` then `(cos x)/(cosx + sin x)` =

A

`(sqrt(3)+1)/(2)`

B

`(sqrt(3)-1)/(2)`

C

`(2)/(sqrt(3)+1)`

D

`(2)/(sqrt(3)-1)`

Text Solution

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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)
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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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