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If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+...

If `0^@ltthetalt180^@` then `sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))))`, then being ` n` number of 2's, is equal to

A

`2cos""(theta)/(2^(n))`

B

`2cos""(theta)/(2^(n-1))`

C

`2cos""(theta)/(2^(n+1))`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. sec theta=(a^(2)+b^(2))/(a^(2)-b^(2)), where a, binR, gives real balue...

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  3. If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))...

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  4. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

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  5. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

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  6. The value of the expression 3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(s...

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  7. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

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  8. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

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  9. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

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  10. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

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  11. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

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  12. If sin (picot theta)=cos (pi tantheta), then

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  13. The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+...

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  14. If ABCD is a convex quadrilateral such that 4 sec A+5 =0 then the quad...

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  15. If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1,...

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  16. cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)cos((6pi...

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  17. The value of cos12^(@)cos24^(@)cos36^(@)cos48^(@)cos72^(@)cos84^(@), i...

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  18. The value of sin""(15pi)/(32)sin""(7pi)/(16)sin""(3pi)/(8), is

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  19. sum(r=1)^(n-1)cos^(2)""(rpi)/(n) is equal to

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  20. The value of cot theta-tantheta-2tan2theta-4tan4theta-8cot8theta, is

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