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If tan(pi cos theta )= cot (pi sin thet...

If ` tan(pi cos theta )= cot (pi sin theta ) ` ,then ` cos^(2)(theta -pi//4) ` is equal to

A

`(1)/(2)`

B

`(1)/(sqrt(2))`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. If theta(1), theta(2), theta(3), theta(4) are roots of the equation "s...

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  2. If sin(pi cos theta) = cos(pi sin theta), then the value of cos(the...

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  3. If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi/...

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  4. The general solution of "tan" ((pi)/(2)"sin" theta) ="cot"((pi)/(2)"co...

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  5. The most general value of theta which satisfy both the equation cos th...

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  6. The number of solutions of the x+2tanx = pi/2 in [0.2pi] is

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  7. If "sin" (pi "cot" theta) = "cos" (pi "tan" theta), "then cosec" 2 the...

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  8. The number of distinct roots of the equation A"sin"^(3) x + B"cos"^(3...

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  9. Values of x between 0 and 2 pi which satisfy the equation sin x sqr...

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  10. If Cos20^0=k and Cosx=2k^2-1, then the possible values of x between 0^...

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  11. The general solution of the trigonometic equation "sin"x + "cos"x = 1...

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  12. The general solution of the equation sin^2thetasectheta+sqrt3 tantheta...

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  13. If X=x cos theta-y sin theta, Y=x sin theta+y cos theta and X^(2)+4XY...

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  14. The equation 3^(sin2x+2cos^(2)x)+3^(1-sin2x+2sin^(2)x) = 28 is satisfi...

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  15. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

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  16. The smallest positive values of x and y which satisfy "tan" (x-y) =1, ...

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  17. The solution set of the inequality "cos"^(2) theta lt (1)/(2), is

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  18. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

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  19. The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

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  20. The number of points in interval [ - (pi)/(2) , (pi)/(2)], where the ...

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