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The number of principal solutions of tan...

The number of principal solutions of `tan2theta=1` is

A

One

B

Two

C

Three

D

Four

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. The equation sinx cosx=2 has:

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  2. The solution of tantheta+cottheta=2 is:

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  3. The number of principal solutions of tan2theta=1 is

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  4. The number of solutions of secxcos5x+1=0 in the interval [0,2pi] is

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  5. If costheta=(-1)/(2)and0^(@)ltthetalt360^(@), then the values of theta...

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  6. The value of theta satisfying the given equation costheta+sqrt(3)sinth...

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  7. Values of theta(0ltthetalt360^(@)) satisfying cosectheta+2=0 are

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  8. The equation sinx+siny+sinz=-3" for "0lexle2pi,0leyle2piand0lezle2pi h...

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  9. The number of solutions of equation tanx+secx=2cosx lying in the inter...

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  10. If "tan" (pi "cos" theta) = "cot"(pi "sin" theta), then the value(s) ...

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  11. The solution of the equation cos^2theta+sintheta+1=0 lies in the inter...

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  12. The number of values of theta in [ 0, 2pi] satisfying the equation 2si...

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  13. The number of integral values of a for which the equation cos2x+asinx=...

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  14. If (1+tantheta)(1+tanphi)=2 then theta+phi=

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  15. If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is equ...

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  16. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

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  17. if 0<=x<=pi and 81^(sin^2x)+81^(cos^2x)=30 then x=

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  18. If 4sin^4x+cos^4x=1,t h e nxi se q u a lto(n in Z) npi (b) npi+-sin...

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  19. The root of the equation 1-costheta=sintheta*"sin"(theta)/(2) is

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  20. If the general solution of sin5x=cos2x is of the form an.pi/2 for n=0,...

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