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The number of roots of (1-tantheta)(1+si...

The number of roots of `(1-tantheta)(1+sin2theta)=1+tanthetafortheta in [0,2pi]` is 3 (b) 4 (c) 5 (d) none of these

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Show That 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0

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  2. If the hypotenuse of a right-angled triangle is four times the length ...

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  3. The number of roots of (1-tantheta)(1+sin2theta)=1+tanthetafortheta in...

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  4. If cosx=tany ,cosy=tanz ,cosz=tanx , then the value of sinx is (a)2...

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  5. If tan theta+sin theta=m and tan theta-sin theta=n , then (a) m^2-n^2=...

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  6. If one side of a triangle is double the other, and the angles on op...

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  7. Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a ...

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  8. The side of a triangle inscribed in a given circle subtends angles alp...

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  9. If sin2theta=cos3theta"and"theta is an acute angle, then sintheta eq...

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  10. With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-...

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  11. 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)...

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  12. If tantheta=sqrt n, where n in N, >= 2, then sec2theta is always (a)...

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  13. The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...

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  14. If P is a point on the altitude AD of the triangle ABC such the /C B P...

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  15. If theta1 and theta2 are two values lying in [0,2pi] for which t a n...

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  16. If tantheta=-4/3,t h e nsintheta is -4/5b u tnot4/5 (b) -4/5or4/5 ...

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  17. Let ABC be a triangle with /A=45^0dot Let P be a point on side BC with...

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  18. If costheta-sintheta=1/5, where 0 lt theta lt pi/4, then Column I Colu...

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  19. One of the general solutions of sqrt(3) cos theta-3 sin theta=4 sin 2 ...

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  20. Let theta in ( 0, pi/4) and t1 = (tan theta)^(tan theta),t2 = (tan th...

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