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The equation sin^2theta=(x^2+y^2)/(2x y)...

The equation `sin^2theta=(x^2+y^2)/(2x y),x , y!=0` is possible if

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`sin^2theta=(x^2+y^2)/(2xy)`
`(x^2+y^2)/(2xy)=1/2(x^2/(xy)+y^2/(xy))`
`=1/2[x/y+y/x]`
`=1/2[sqrt(x/y)-sqrt(y/x))^2+2]`
`sin^2theta<=1`
`(x^2+y^2)/(2xy)=1`
`x^2+y^2=2xy`
`x^2+y^2-2xy=0`
...
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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The most general value for which tantheta=-1 and costheta=1/(sqrt(2)) ...

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  3. The equation sin^2theta=(x^2+y^2)/(2x y),x , y!=0 is possible if

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  6. The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi...

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  8. Prove that: (sin5A-sin3A)/(cos5A+cos3A)=tanA

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  9. For triangle ABC,R=5/2 and r=1. Let I be the incenter of the triangle ...

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  10. If 5tantheta=4, then (5sintheta-3costheta)/(5sintheta+2costheta) is eq...

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  11. Prove that (r1+r2)/(1+cosC)=2R

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  12. Number of solutions of the equation (sqrt(3)+1)^(2x)+(sqrt(3)-1)^(2x)=...

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  14. If x=(sin^3P)/cos^2P,y=cos^3P/sin^2P" and " sinP+cosP=1/2 then find th...

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  19. If x , y in [0,2pi]a n dsinx+siny=2, then the value of x+y is

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  20. Find the value of (1+cos (pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos(7pi...

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