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Number of solution of equation cos^(4)x ...

Number of solution of equation `cos^(4)x - 2cos^2x+1=0` in interval `[0,2pi]` are only two .

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If number of solution and sum of solution of the equation 3sin^(2)x-7sinx +2=0, x in [0,2pi] are respectively N and S and f_(n)(theta)=sin^(n)theta +cos^(n) theta . On the basis of above information , answer the following questions. Value of S is

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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Trigonometric Functions (True /False Statement)
  1. If x + y = (2pi)/3 then equation cosx +cosy = 3/2 has empty solution s...

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  2. If tantheta - tan^(2) theta = 1 , then tan^(4) theta-2tan^3theta-tan^2...

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  3. Number of solution of equation cos^(4)x - 2cos^2x+1=0 in interval [0,2...

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  4. If tantheta=(1)/(2)andtanphi=(1)/(3), then the value of theta+phi is

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  5. f(x) = 3 cos x + 4 sin x + 8 has minimum value 19.

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  6. If in DeltaABC a = 9 , b = 7 and sinA = 3/4 then DeltaABC is right an...

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  7. Value of the rotation of point P on unit circle increase in multiple o...

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  8. If tan theta = 3 and theta is in third quadrant then sin theta = 3/sq...

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  9. sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has val...

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  10. Point of intersection of the graph of sine function with X - axis has ...

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  11. If f(x)=cos^(2)x+sec^(2)x, then

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  12. "cosec" theta =1/2

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  13. tan(20^@) gt tan(120^(@))

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  14. If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos ...

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  15. If "cosec" theta + cot theta = (13)/5 then cot^(2) theta - "cosec"^(2)...

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  16. cos(2pi -x) cos (-x) - sin(2pi +x) sin (-x) = 0

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  17. 3sin(pi/9) - 4sin^(3)(pi/9) = .......

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  18. sintheta = (3)/5 , (pi)/2 lt theta lt pi sin2theta = (-12)/25

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  19. If tan theta = sqrt2-1 then tan (2theta)=1 .

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  20. If in two circles, arcs of the same length subtend angles 60^(@)and75^...

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