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Solve sin^(-1). (14)/(|x|) + sin^(-1).(2...

Solve `sin^(-1). (14)/(|x|) + sin^(-1).(2 sqrt15)/(|x|) = (pi)/(2)`

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To solve the equation \[ \sin^{-1}\left(\frac{14}{|x|}\right) + \sin^{-1}\left(\frac{2\sqrt{15}}{|x|}\right) = \frac{\pi}{2}, \] we can follow these steps: ...
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CENGAGE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Illustration
  1. Find the minimum value of (sec^(-1) x)^(2) + (cosec^(-1) x)^(2)

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  2. Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)

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  3. Solve sin^(-1). (14)/(|x|) + sin^(-1).(2 sqrt15)/(|x|) = (pi)/(2)

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  4. If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1...

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  5. If sec^(-1) x = cosec^(-1) y, then find the value of cos^(-1).(1)/(x) ...

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  6. Prove that tan^(-1) x + tan^(-1).(1)/(x) = {(pi//2,"if" x gt 0),(-pi//...

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  7. For which values of x, function f(x) = sin^(-1) x + sin^(-1).(1)/(x) +...

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  8. Find the value of sum(r = 1)^(10) sum(s = 1)^(10) tan^(-1) ((r)/(s))

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  9. If sin^(-1)xi in [0,1]AAi=1,2,3, .28 then find the maximum value of s...

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  10. If two angles of a triangle are tan^(-1) (2) and tan^(-1) (3), then fi...

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  11. Prove that cos^(-1).(4).(5) + cos^(-1).(12)/(13) = cos^(-1).(33)/(65)

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  12. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cota)+tan^(-1)(cot^3A)={ when ...

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  13. Let a, b and c be positive real numbers. Then prove that tan^(-1) sqrt...

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  14. Simplify [(3 sin 2 alpha)/(5 + 3 cos 2 alpha)] + tan^(-1) [(tan alph...

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  15. Solve the equation tan^(-1) 2x + tan^(-1) 3x = pi//4

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  16. Solve tan^(-1) x + sin^(-1) x = tan^(-1) 2x

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  17. Solve cot^(-1) ((3x^(2) + 1)/(x)) = cot^(-1) ((1 - 3x^(2))/(x)) - tan^...

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  18. If x gt y gt z gt 0, then find the value of "cot"^(-1) (xy + 1)/(x - y...

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  19. Solve tan^(-1) x + cot^(-1) (-|x|) = 2 tan^(-1) 6x

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  20. If a(1), a(2), a(3),...., a(n) is an A.P. with common difference d, th...

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