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If (sin alpha )/(a) = ( cos alpha )/(b) ...

If `(sin alpha )/(a) = ( cos alpha )/(b)` , then ` a sin 2alpha + b cos 2 alpha = `

A

1

B

b

C

`1//a`

D

`1//b`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-PRACTICE EXERCISE
  1. IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2...

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  2. If x in (45^(@),90^(@)), sin2x=1/2, then sin^(3)x-3/4 sinx=

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  3. If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2...

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  4. If log(2)(sinx)-log(2)(cosx)-log(2)(1-tanx)-log(2)(1+tanx)=-1 then tan...

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

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

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

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  8. If alpha is a root of 25 cos^(2)theta + 5 cos theta - 12 =0, (pi)/(2) ...

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  9. A quadratic equation whose roots are tan22 1^(@)/2 and cot22 1^(@)/2 i...

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

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

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  12. 1/(sin10^(@))-sqrt3/(cos10^(@))=

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

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

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

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

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

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

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

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

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