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Ifx+iy=3/(2+costheta+i sintheta)then sho...

If`x+iy=3/(2+costheta+i sintheta)`then show that `x^2 + y^2 = 4x - 3.`

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If x+iy=2/(3+costheta+isintheta) ,show that 2x^2+2y^2=3x-1

If x+iy=(3)/(2+cos theta + sin theta),"prove that" , x^(2)+y^(2)=4x-3.

If x+iy=(2)/(3+cos theta+isin theta),"show that" " " 2x^(2)+2y^(2)=3x-1.

(2+sqrt(3))costheta =1 - sintheta

Prove that if x=a(costheta+sin thetasin2theta) and y=a(sintheta+costhetasin2theta) ,then show that (x+y)^(2//3)+(x-y)^(2//3)=2a^(2//3)

If x=a(costheta+sinthetasin2theta)andy=a(sintheta+costhetasin2theta) , then show that (x+y)^((2)/(3))+(x-y)^((2)/(3))=2a^((2)/(3)) .

If P={theta:sintheta-costheta=sqrt2costheta} and Q={theta: sintheta+costheta=sqrt2 sintheta} , then show that P = Q.

If (3x-4y) prop sqrt(xy) then show that (x^2+y^2) prop xy .

If x costheta=y cos (theta+(2pi)/3)=z cos(theta+(4pi)/3) show that xy + yz+ zx = 0

IF 2 costheta=x+1/x then show that 2 cos3 theta=x^3+1/x^3

UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
  1. Find equations of all possible circles that touch the y axis at the po...

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  2. Find the equation of the circles which touche the y axes id and passes...

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  3. Show that lim(xrarr1)(1-x)tan((pix)/2)=2/pi

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  4. If 2f(x)+3f(-x)=x^2-x-1,then find f'(1).

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  5. Find from the first principle,the derivative of tan 2x at x=pi/8

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  6. If f(x) is differentiable at x=a then show that lim(xrarr0)(x^2f(a)-a^...

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  7. Prove the following by contradiciton ."The sum of a rational and an ir...

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  8. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  9. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  10. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  11. Let a statement p:/\ABCis right angle triangle,and another statement q...

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  12. Find the range of the function f(x)=1/(3sinx+4cosx+6)

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  13. Prove thatcos^2alpha+cos^2(120^@-alpha)+cos^2(120^@+alpha)=3/2

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  14. Let f(x)=4^x/(4^x+2)prove.that f(x) + f(1- x)= 1. Hence prove that f(1...

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  15. Ifx+iy=3/(2+costheta+i sintheta)then show that x^2 + y^2 = 4x - 3.

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  16. If S be the sum. P be the product,and R the sum of the reciprocals of ...

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  17. 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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  18. If n>1 be a +ve integer,then using binomial theorm show that (4^(2n+2)...

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  19. The equation of the axis and directrix of a parabola are y-3=0 and ...

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  20. If l and l' be the lengths of the segment bar(PS) and bar(P'S) of a fo...

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