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Find the value of: cot(tan^(-1)a+cot^(-1...

Find the value of: `cot(tan^(-1)a+cot^(-1)a)`

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To find the value of \( \cot(\tan^{-1} a + \cot^{-1} a) \), we can use the property of inverse trigonometric functions. ### Step 1: Use the property of inverse trigonometric functions We know that: \[ \tan^{-1} x + \cot^{-1} x = \frac{\pi}{2} \] for any real number \( x \). ...
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NCERT-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 2.2
  1. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  2. Find the value of: tan(1/2 [sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-y^2)/(1...

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  3. Prove that: tan^(-1)(2/11)+tan^(-1)(7/24)=tan^(-1)(1/2)

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  4. tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3))is equal to (A) pi (B) -pi/2 (C) 0 (...

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  5. Prove that: 3cos^(-1)x=cos^(-1)(4x^3-3x), x in [1/2,1]

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  6. Find the value of: tan^(-1)[2cos(2sin^(-1)(1/2))]

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  7. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4, then find the val...

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  8. Find the value of tan(sin^(-1)(3/5)+cot^(-1)(3/2))

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  9. cos^(-1)(cos((7pi)/6))is equal to (A) (7pi)/6 (B) (5pi)/6 (C) pi/3 (D)...

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  10. Find the value of sin^(-1)(sin((2pi)/3))

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  11. sin(pi/3-sin^(-1)(-1/2))is equal to (A) 1/2 (B) 1/3 (C) 1/4 (D) 1

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  12. Find the value of: cot(tan^(-1)a+cot^(-1)a)

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  13. Find the value of tan^(-1)(tan(3pi)/4)

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  14. Write the following function in the simplest form: tan^(-1)x/(sqrt(a^2...

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  15. Write the following function in the simplest form: tan^(-1)((cosx-sinx...

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  16. Write the following function in the simplest form: tan^(-1)((sqrt(1+x^...

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  17. Prove that: 2tan^(-1)(1/2)+tan^(-1)(1/7)=tan^(-1)(31/17)

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  18. Write the following function in the simplest form: tan^-1 sqrt((1-cosx...

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  19. If sin(sin^(-1)(1/5)+cos^(-1)x)=1, then find the value of x.

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  20. Write the following function in the simplest form: tan^(-1)((3a^2x-x^3...

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