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Write the principal value of "tan"^(-1)[...

Write the principal value of `"tan"^(-1)["sin"(-pi/(2))]`.

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SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. If "sin"("sin"^(-1)1/(5)+"cos"^(-1)x)=1, then find the value of x.

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  2. Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2).

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  3. Write the principal value of "tan"^(-1)["sin"(-pi/(2))].

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  4. Write the principal value of "cos"^(-1)("cos"680^(@)).

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  5. Write the principal value of cos^(-1)(sqrt3/2)+cos^(-1)(-1/2).

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  6. Write the value of "tan"^(-1)(a/b)-"tan"^(-1)((a-b)/(a+b)).

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  7. Evaluate tan^(-1)(1)+cos^(-1)((-1)/(2)).

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  8. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt3/2)]

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  9. Write the principal value of tan^(-1)(sqrt3)-cot^(-1)(-sqrt3).

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  10. Find the value of "tan"^(-1)sqrt(3)-"sec"^(-1)(-2).

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  11. Write the principal value of sin^(-1) (-1/2) + cos^(-1) cos (-pi/2)

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  12. If x+y+z=xyz, then what is the value of tan^(-1)x+tan^(-1)y+tan^(-1)z?

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  13. Find the value of sin^(-1)(3/5)+tan^(-1)(1/7).

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  14. if xy+yz+zx=1 then what is tan^(-1)x+tan^(-1)y+tan^(-1)z?

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  15. Write the domain of the function defined by f(x)=sin^(-1)x+cosx

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  16. What is the value of sin2 sin^(-1)(3/5)?

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  17. Find the value of tan(pi/4+2cot^(-1) sqrt3)

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  18. Express the value of "cosec"("cos"^(-1) 3/5 +"cos"^(-1) 4/5) in simple...

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  19. Write the value of sin cos^(-1)tan sin^(-1)(1/sqrt2) in simplest form.

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

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