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If `sintheta,tantheta,costheta` are in G.P. then `4sin^2theta-3sin^4theta+sin^6theta=?`

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...

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  2. If the median AD of triangle ABC makes an angle pi/4 with the side BC,...

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  3. If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4thet...

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  4. The value of k if the equation 2 cos x + cos 2kx=3 has only one soluti...

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  5. If I1, I2, I3 are the centers of escribed circles of triangle A B C ,...

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  6. Let f(theta)=1/(1+(cottheta)^2) , and S=sum(theta=1^0)^(89^0)f(theta),...

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  7. The number of values of theta in the interval (-pi/2,pi/2) satisfying ...

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  8. If the distance between incenter and one of the excenter of an equi...

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  9. The value of 3(sin^4t+cos^4t-1)/(sin^6t+cos^6t-1) is equal to

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  10. Number of roots of the equation 2^(tan(x-pi/4))-2(0. 25)^((sin^2(x-pi...

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  11. If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is

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  12. Given a triangle A B C with sides a=7, b=8 and c=5. Find the value of ...

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  13. The smallest positive value of x (in radians) satisfying the equation...

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  14. In convex quadrilateral A B C D ,A B=a ,B C=b ,C D=c ,D A=d . This qua...

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  15. Suppose that for some angles xa n dy , the equations sin^2x+cos^2y=(3a...

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  16. The number of distinct real roots of the equation tan(2pix)/(x^2+x+1)=...

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  17. In a cyclic quadrilateral PQRS, PQ= 2 units, QR= 5 units, RS=3 units ...

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  18. The number of solution of the equation sin2theta-2costheta+4sintheta=4...

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  19. If 0 lt x lt 5/4 and cosx+sinx=5/4 then the value of 16(cosx-sinx)^2 i...

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  20. If Delta represents the area of acute angled triangle ABC, then sqrt(a...

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