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Evaluate each of the following: cot^(-...

Evaluate each of the following: `cot^(-1)(cot((19pi)/6))` (ii) `cot^(-1){cot(-(8pi)/3)}` (iii) `cot^(-1){cot((21pi)/4)}`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Evaluate each of the following: "c o s e c"^(-1)("c o s e c"(13pi)/...

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  2. Evaluate each of the following: cot^(-1)(cotpi/3) (ii) cot^(-1)(cot...

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  3. Evaluate each of the following: cot^(-1)(cot((19pi)/6)) (ii) cot^(-1...

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  4. Write each of the following in the simplest form: cot^(-1){a/(sqrt(...

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  5. Write each of the following in the simplest form: tan^(-1){sqrt(1+x...

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  6. Write each of the following in the simplest form: tan^(-1){(sqrt(1+x...

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  7. Write each of the following in the simplest form: tan^(-1){x/(a+sqrt...

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  8. Evaluate int(sin5x+ e^(5x))\dx

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  9. Evaluate int\tan5x\dx

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  10. Evaluateint(x-2)(x-1)\dx

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  11. Evaluateint(x-1)(x-3)\dx

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  12. Evaluate int(2-x)(1-x)\dx

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  13. Evaluate each of the following: tan(tan^(-1)3/4) (ii) tan(sin^(-1)5...

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  14. Evaluate each of the following: tan("c o s e c"^(-1)(13)/5) (ii) tan...

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  15. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

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  16. Evaluate : cos(sin^(-1)(1/4)+sec^(-1)(4/3))

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  17. Evaluate: sin(cos^(-1)3/5+cos e c^(-1)(13)/5)

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  18. Find the value of the expression sin[cot^(-1){cos(tan^11)}]

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  19. Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(s...

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  20. Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(s...

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