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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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To solve the equation \( \sin^2 \theta = \frac{x^2 + y^2}{2xy} \) under the condition that \( x, y \neq 0 \), we need to find the conditions under which this equation holds true. ### Step-by-Step Solution: 1. **Understanding the Range of \( \sin^2 \theta \)**: \[ \sin^2 \theta \text{ lies in the range } [0, 1]. \] ...
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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let ABC be an acute angled triangle whose orthocentre is at H. If a...

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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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  4. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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  5. In a acute angled triangle ABC, proint D, E and F are the feet of the ...

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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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  7. Which of the following is correct ? (a) sin1^@>sin1 (b) sin1^@<sin1 (c...

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  8. Prove that: (sin5A-sin3A)/(cos5A+cos3A)=tanA (2)(sinA+sin3A)/(cosA+c...

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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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  13. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

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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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  15. Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(...

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  16. Prove that: (sinA+s in3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A

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  17. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

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  18. (a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" (a) 3/4 (b) 4...

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

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  20. The value of (1+cospi/8)(1+cos(3pi)/8)(1+cos(5pi)/8)(1+cos(7pi)/8)i s ...

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