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tantheta+2tan2theta+4tan4theta+8tan8thet...

`tantheta+2tan2theta+4tan4theta+8tan8theta`
`16tan16theta+32cot32theta=`

A

`sintheta`

B

`costheta`

C

`tantheta`

D

`cottheta`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-PRACTICE EXERCISE
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  2. If log(2)(sinx)-log(2)(cosx)-log(2)(1-tanx)-log(2)(1+tanx)=-1 then tan...

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  3. tantheta+2tan2theta+4tan4theta+8tan8theta 16tan16theta+32cot32theta=

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  4. The angle theta whose cosine is equal to its tangent is given by

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  5. If tan x=(b)/(a) " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

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  8. A quadratic equation whose roots are tan15^(@) and cot15^(@) is

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  9. If xcostheta=ycos(theta+120^(@))=z cos (theta+240^(@)) then xy+yz+zx=

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  11. sqrt3 cot20^(@)-4cos20^(@)=

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  12. cos^(2)(theta-45^(@))+cos^(2)(theta+15^(@)-cos^(2)(theta-15^(@))=

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  13. If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , th...

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  14. cos6^(@) cos42^(@) cos66^(@) cos78^(@) =

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  15. Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

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  16. cos (pi/7) cos ((2pi)/(7) ) cos ( (4pi )/(7) ) =

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  17. "sin"pi/14" sin"(3pi)/14" sin"(5pi)/14" sin"(7pi)/5=

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  18. "sin"^(2)pi/8" + sin"^(2)(3pi)/8" + sin"^(2)(5pi)/8" + sin"^(2)(7pi)/8...

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  19. "sin"^(4)pi/8" +sin"^(4)(3pi)/8" +sin"^(4)(5pi)/8" +sin"^(4)(7pi)/8=

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  20. Show that (1+ cos. (pi)/(8))(1+cos. (3pi)/(8))(1+ cos. (5pi)/(8))(1+ c...

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