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Consider two geometric progressions a1,a...

Consider two geometric progressions `a_1,a_2,a_3,......a_0 & b_1, b_2, b_3,....b_n with a_r=1/b_r=2^(r-1) and an-`other sequence` t_1,t_2,t_3,......t_n`. such that `t_r = cot^-1 (2a_r + b_r)then lim_(n->oo)sum_(r=1)^nt_r` is -

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

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  3. Consider two geometric progressions a1,a2,a3,......a0 & b1, b2, b3,......

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  4. The sum of the infinite terms of the series cot^(-1)(1^2+3/4)+cot^(-1)...

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  5. If the numerical value of tan{cos^-1(4/5)+tan^-1(2/3)} is a/bthen

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  6. The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a.cos(-(7pi)/...

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  7. Prove that: tan^-1(1/4)+tan^-1(2/9)=1/2 cos^-1(3/5).

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  8. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

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  9. sin^(-1)(sin(33pi)/7)\

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  10. cos^(-1)(cos(46pi)/7)

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  11. tan^(-1)(tan((-33pi)/7))

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  12. cot^(-1)(cot((-46 pi)/7))

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  13. Find value of Sin ( tan^(-1) x)

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  14. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

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  15. sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

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  16. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  17. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  18. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

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  19. Statement I is True: Statement II is True; Statement II is a correct ...

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  20. Statement I is True: Statement II is True; Statement II is a correct e...

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