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If 270^(@) lt theta lt 360^(@), then fi...

If `270^(@) lt theta lt 360^(@)`, then find `sqrt(2+sqrt(2(1+cos theta)))`

A

`-2sin((theta)/(4))`

B

`2 sin((theta)/(4))`

C

`pm 2 "sin"(theta)/(4)`

D

`2"cos"(theta)/(4)`

Text Solution

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The correct Answer is:
B
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VIKAS GUPTA (BLACK BOOK) ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If 270^(@) lt theta lt 360^(@), then find sqrt(2+sqrt(2(1+cos theta))...

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  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

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  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

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  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

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  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

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  6. If 10sin^4 alpha +15cos^4alpha=6 then the value of 9cosec^4 alpha + 8...

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  7. The value of (1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+...

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  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

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  9. Given that for a, b, c, d in R, If a sec(200^(@))-c tan (200^(@))=d a...

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  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

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  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

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  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

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  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

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  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

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  15. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

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  16. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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  17. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=.....

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  18. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

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  19. If y=(sin theta+"cosec" theta)^(2) +(cos theta+sec theta)^(2), then m...

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  20. If tan20^0+tan40^0+tan80^0-tan60^0= lambdasin40^0, find lambda.

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  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

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