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`sintheta+sinphi=a,costheta+cosphi=b`show that `tan((theta-phi)/2)=+-sqrt((4-a^2-b^2)/(a^2+b^2))`

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UNITED BOOK HOUSE-JADAVPUR VIDYAPITH-EXERCISE
  1. f(x)=a+b sinx,has max value of 7 an min value 1.Find f(pi//6)=?

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  4. a=(1+i)/sqrt2then a^6+a^4+a^2+1=?

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  5. x(x-3)=4,has two roots alphaand betathen alpha^2+beta^2=?

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  7. Straight line px-qy=r intercept the coordinate axis at the point (a,0)...

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  8. A relation R defined on the set of natural no as follows R={(x,y),x+5y...

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  9. cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-3/2 show that cosalp...

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  11. If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...

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  13. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  14. An equilateral triangle in the Argan plane has vertix as z1,z2and z3wh...

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  15. If the equation x^2+px+qr=0and x^2+qx+pr=0(p!=q,r!=0)has same root the...

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  17. How many way will be made from the word JADAVPUR taking al the letters...

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  20. Distance of the straight line 4x+3y=5 cosalphaand 6x-8y=5 sinalphafrom...

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