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

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

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Evaluate each of the following: tan(tan^(-1)3/4) (ii) tan(sin^(-1)5...

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

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

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

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

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

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

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

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  9. Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^2+1)/(x^2+2)) c...

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  10. Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^2+1)/(x^2+2)) ...

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  11. If sin{cot^-1(x+1)}="cos"(tan^(-1)x), then find x

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  12. Evaluate int\x.(x-5)\dx

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  13. Solve the following equation for x : "cos"(tan^(-1)x)=sin(cot^(-1)(3...

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  14. If x=cos e c[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y="sec"[co...

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  15. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , prove that: xsqrt(1-x^2)+ysqrt(1...

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  16. Evaluateint\x^2(x-1)\dx

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  17. If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha...

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  18. Evaluateintx^3(x-1)\dx

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  19. Evaluate each of the following: sin(sin^(-1)7/(25)) (ii) sin(cos^(-...

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  20. Evaluate each of the following: sin(sec^(-1)(17/8)) (ii) "c o s e c"...

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