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Find the value of 2cos^(-1)(3/(sqrt(13))...

Find the value of `2cos^(-1)(3/(sqrt(13)))+cot^(-1)((16)/(63))+1/2cos^(-1)(7/(25))`

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To solve the expression \[ 2 \cos^{-1} \left( \frac{3}{\sqrt{13}} \right) + \cot^{-1} \left( \frac{16}{63} \right) + \frac{1}{2} \cos^{-1} \left( \frac{7}{25} \right), \] we will convert the inverse cosine and cotangent functions into inverse tangent functions and simplify the expression step by step. ...
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Solve the equation sqrt(|sin^(-1)|"cosx"||+|cos^(-1)|sinx||)=sin^(-1)|...

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  2. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+qr...

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  3. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  4. Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+...

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  5. If x1, x2, x3,a n dx4 are the roots of the equations x^4-x^3sin2beta+...

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  6. If tan^(-1)y=4tan^(-1)x(|x|<tanpi/8) , find y as an algebraic function...

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  7. Find the number of positive integral solution of the equation tan^(-1)...

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  8. Find the sum cos e c^(-1)sqrt(10)+cos e c^(-1)sqrt(50)+cos e c^(-1)sqr...

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  9. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

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  10. If a,b,c be positive real numbers and the value of theta=tan^(- 1)sqrt...

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  11. If f(x)=sin^(-1)x then prove that lim(x-&gt;1/2)f(3x-4x^3)=pi-3lim(x-...

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  12. Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

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  13. Which of the following angles is greater? theta1=sin^(-1)(4/5)+sin^(-...

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  14. Find the value underset(n rarr oo)("lim") underset(k =2)overset(n)su...

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  15. If sin^(-1)((4x)/(x^2+4))+2tan^(-1)(-x/2) is independent of x , find t...

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  16. If cos^(-1)(6x)/(1+9x^2)=-pi/2+tan^(-1)3x , then find the value ofxdot

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  17. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

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  18. If sin^(-1)(2x)/(1+x^2)=tan^(-1)(2x)/(1-x^2) , then find the value of ...

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  19. Find the value of 2cos^(-1)(3/(sqrt(13)))+cot^(-1)((16)/(63))+1/2cos^(...

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  20. Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

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