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Solve: 5tan^(-1)x+3cot^(-1)x=2pi...

Solve: `5tan^(-1)x+3cot^(-1)x=2pi`

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The correct Answer is:
`x=1`
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RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SSP
  1. Find the value of : cos^(-1)(cos 4)

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  2. Find the value of : tan^(-1){tan(-(7pi)/8)}

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  3. find the value of tan^(-1){cot(-1/4)}

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  4. Find sin^(-1) ( sin theta ) , cos^(-1) ( cos theta) , tan^(-1) ( ta...

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  5. Solve: 5tan^(-1)x+3cot^(-1)x=2pi

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  6. Solve : 4sin^(-1)x=pi-cos^(-1)x

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  7. Solve the following equations : sin^(-1)(x^(2)-2x+3)+cos^(-1)(x^(2)-x)...

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  8. If x<0 , then write the value of cos^(-1)((1-x^2)/(1+x^2)) in terms...

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  9. Define: tan^(-1)((3x-x^(3))/(1-3x^(2))) in terms of tan^(-1)x

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  10. Find the value of : sec(cos^(-1)(2/3))

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  11. Find the value of : cosec(sin^(-1)(-1/(sqrt(3))))

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  12. Evaluate the following : tan ( cosec^(-1) sqrt(41)/4)

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  13. Find the value of : sec("cot"^(-1)16/63)

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  14. Find the value of sin(1/2cot^(-1)(-3/4))

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  15. Evaluate: (i) tan(2\ tan^(-1)1/5-pi/4) (ii) tan{1/2cos^(-1)(sqrt(5))/3...

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  16. If xepsilon(-1,1) and 2tan^(-1)x=tan^(-1)y then find y in term of x.

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  17. Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi a...

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  18. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  19. If tan^(-1) 4 + tan ^(-1) 5 = cot^(-1) lambda " , then find " 'la...

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  20. Find the value of 2cos^(-1)3/(sqrt(13))+cot^(-1)(16)/(63)+1/2cos^(-1)7...

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