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If sum(i=1)^(2n)cos^(-1)xi=0 then find t...

If `sum_(i=1)^(2n)cos^(-1)x_i=0` then find the value of `sum_(i=1)^(2n)x_i`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of tan^(-1)(1)+cos^(-1)(-1/2)+sin^(-1)(-1/2) is equal to pi/...

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  2. If sum(i=1)^(2n)cos^(-1)xi=0 then find the value of sum(i=1)^(2n)xi

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  3. Evaluate the following: "sin"(cos^(-1)3//5)

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  4. Evaluate the following: "cos"(tan^(-1)3//4)

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  5. Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) ...

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  6. The value of sin^(-1)(-3/2)+cos^(-1)(cos\ (7pi)/6) is a. (5pi)/6 b.pi/...

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  7. Evaluate the following: sin^(-1)(sin\ pi/4)

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  8. Evaluate the following: cos^(-1)(cos((7pi)/6))

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  9. Evaluate the following: sin^(-1)(sin(pi/4))

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  10. Evaluate the following: sin^(-1)(sin 10)

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  11. Evaluate the following: cos^(-1)(cos10) (ii) tan^(-1){tan(-6)}

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  12. Evaluate the following: cos^(-1)(cos4)

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  13. Prove that sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15

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  14. Find the number of solutions of (x ,\ y) which satisfy |y|=cosx\ a n d...

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  15. Prove that: tan^(-1)x+tan^(-1)1/x={pi/2,ifx >0-pi/2,ifx<0

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  16. Prove that tan^-1(1/7)+tan^-1(1/13)=tan^-1(2/9)

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  17. Prove that: tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

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  18. Prove that: sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi

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  19. Prove that: cos^(-1)(12)/(13)+sin^(-1)3/5=sin^(-1)(56)/(65)

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  20. If x=cos e c[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y="sec"[...

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