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Find the value of the following expressi...

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

Text Solution

Verified by Experts

The correct Answer is:
`0`

NA
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RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Find the value of the following inverse trigonometric expression: co...

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  2. Find the value of the following inverse trigonometric expression: co...

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

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  4. Find the value of the following expression: sin(sin^(-1)x+cos^(-1)x)...

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  5. Solve the inequality tan^(-1)xgtcot^(-1)cot^(-1)x.

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  6. Evaluate the following expression: sin("cos"^(-1)3/5)

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  7. Evaluate the following expression: tan("cos"^(-1)1/3)

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  8. Evaluate the following expression: cosec"(sec"^(-1)(sqrt(41))/4)

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  9. Evaluate the following expression: tan("cosec"^(-1)65/63)

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  10. Evaluate the following expression: sin((pi)/6+"cos"^(-1)1/4)

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  11. Evaluate the following expression: cos("sin"^(-1)4/5+"cos"^(-1)2/3)

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  12. Evaluate the following expression: sec(tan{tan^(-1)(-(pi)/3)})

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  13. Evaluate the following expression: cos tan^(-1)sin cot^(-1)(1/2)

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  14. Evaluate the following expression: tan [cos^(-1)(3/4)+sin^(-1)(3/4)-...

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  15. Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

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  16. tan^(-1)x + cot^(-1) (1/x) + 2tan^(-1)z =pi, then prove that x + y + 2...

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  17. If cos^(-1)x+2sin^(-1)x+3cot^(-1)y+4tan^(-1)y=4sec^(-1)z+5cosec^(-1)z,...

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  18. Consider f(x)=tan^(-1)(2/x),g(x)=sin^(-1)(2/(sqrt(4+x^(2)))) and h(x)=...

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  19. Prove each of the following tan^(-1) x=-pi +cot^(-1) 1/x=sin^(-1) (x...

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  20. Prove each of the following relation: cos^(-1)x=sec^(-1)1/x=pi-sin^(...

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