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Evaluate each of the following: tan("c...

Evaluate each of the following: `tan("c o s e c"^(-1)(13)/5)` (ii) `tan("sec"^(-1)(13)/12)` (iii) `tan("cot"^(-1)(8)/15)`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Evaluate int(2-x)(1-x)\dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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