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Evaluate each of the following: sin(s...

Evaluate each of the following: `sin(sin^(-1)5/(13))` (ii) `sin(cos^(-1)4/5)` (iii) `sin(tan^(-1)(15)/8)`

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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Write each of the following in the simplest form: (i)tan^(-1){x/(...

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  2. Write each of the following in the simplest form: (i)sin^(-1){(sq...

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

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  4. Evaluate each of the following: (i)sin(cot^(-1)(4/3)) (ii) sin...

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

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  6. Evaluate each of the following: cos(cot^(-1)(15)/8) (ii) cos(sec^(-...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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