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If sin^2theta=(x^2+y^2+1)/(2x) , then x...

If `sin^2theta=(x^2+y^2+1)/(2x)` , then `x` must be `-3` (b) `-2` (c) `1` (d) none of these

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To solve the equation given by \( \sin^2 \theta = \frac{x^2 + y^2 + 1}{2x} \), we need to analyze the constraints on the values of \( x \) and \( y \). ### Step-by-step Solution: 1. **Understand the Range of \( \sin^2 \theta \)**: \[ \sin^2 \theta \leq 1 \] ...
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CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Number of integral values of a for which the equation cos^2x-sinx+a=0 ...

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  2. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

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  3. If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1...

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  4. If cos4x=a0+a1cos^2x+a^2cos^4x is true for all values of x in R , the...

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  5. If A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.) Prove that A B C ...

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  6. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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  7. Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Whic...

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  8. Solve sec4theta-sec2theta=2

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  9. Prove that sum(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2si...

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  10. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

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  11. Solve : 5cos2theta+2cos^2(theta/2)+1=0,-pi lt theta lt pi

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  12. If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

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  13. If 3tanA+4=0, then the value of 2cotA-5cosA+sinA is equal to (23)/(10)...

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  14. Solve sin2theta+costheta=0

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  15. Two medians drawn from the acute angles of a right angled triangle int...

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  16. For all, x ,y in Rdot find the range of ((x+y)(1-x y))/((1+x^2)(1+y^2...

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  17. A circle centred at 'O' has radius 1 and contains the point A. Segment...

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  18. Solve that equation : costheta+cos3theta-2cos2theta=0

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  19. If x^2+y^2=4 then find the maximum value of (x^3+y^3)/(x+y)

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  20. If inside a big circle exactly n(nlt=3) small circles, each of radius ...

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