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Solve sin^(-1)x+sin^(-1)2x=pi/3dot...

Solve `sin^(-1)x+sin^(-1)2x=pi/3dot`

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To solve the equation \( \sin^{-1} x + \sin^{-1} 2x = \frac{\pi}{3} \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \sin^{-1} x + \sin^{-1} 2x = \frac{\pi}{3} \] From this, we can express \( \sin^{-1} 2x \) in terms of \( \sin^{-1} x \): ...
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If (x -1) (x^(2) + 1) gt 0, then find the value of sin((1)/(2) tan^(-1...

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  2. Solve sin^(-1)xlt=cos^(-1)xdot

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  3. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

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  4. If a1, a2,a3, ,an is an A.P. with common difference d , then prove ...

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  5. If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-...

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  6. Find the value of 4tan^(-1)1/5-tan^(-1)1/(70)+tan^(-1)1/(99)

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  7. Find the value of underset(r = 0) overset(oo)sum tan^(-1) ((1)/(1 + r ...

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  8. If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48...

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  9. cos^(-1){1/2x^(2)+sqrt(1+x^(2))sqrt(1-x^(2))/(4)}=cos^(-1)(x)/(2)-cos^...

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  10. Find the range of f(x)=|3tan^(-1)x-cos^(-1)(0)|-cos^(-1)(-1)dot

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  11. Find the value of (i)sin^(-1)(2^x) (ii) cos^(-1)sqrt(x^2-x+1) (i...

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  12. Find the value of x for which cos e c^(-1)(cosx) is defined.

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  13. Solve for x if (cot^(-1)x)^2-3(cot^(-1)x)+2>0

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  14. Solve cos^(-1)x >cos^(-1)x^2

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  15. Solve sin^(-1)x >-1

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  16. Find the principal value of the following cos e c^(-1)(2) (ii) tan^(...

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  17. The product of all values of x satisfying the equation sin^(-1)cos((2x...

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  18. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^sec^(2y)+1)=pi/2, then ...

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  19. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 ...

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  20. The exhaustive set of value of a for which a-cot^(-1)3x=2tan^(-1)3x+co...

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