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Prove the following: tan^-1(frac{67}{19}...

Prove the following: `tan^-1(frac{67}{19}) = tan^-1(frac{5}{13})+cos^-1(frac{3}{5})`

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CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. Prove the following: tan^-1[sqrt(frac{1-cosx}{1+cosx})] = frac{x}{2}

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  2. Prove the following: 2tan^-1(frac{1}{2})+tan^-1(frac{1}{7}) = tan^-1(...

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  3. Prove the following: tan^-1(frac{67}{19}) = tan^-1(frac{5}{13})+cos^-1...

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  4. Prove the following: sin^-1(frac{12}{13})+cos^-1(frac{4}{5})+tan^-1(...

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  5. Find the value of tan^-1(tan(frac{pi}{6}))

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  6. Find the value of sin^-1(sin(frac{3pi}{5}))

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  7. Simplify: tan^-1[frac{acosx-bsinx}{bcosx+asinx}] if frac{a}{b} tanx gt...

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  8. Find the value of the expression: tan^-1[sqrt(frac{1-cosx}{1+cosx})]

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  9. What is the range of sine inverse function?

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  10. What is the domain of cosine inverse function?

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  11. What is the domain of tan inverse function?

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  12. What is the range of secant inverse function?

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  13. Find principal solution of sin^-1 (0)

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  14. Find the principal solution of sec^-1 (2) ?

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  15. Find the principal solution of cot^-1(-sqrt3)

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  16. Select the correct option from the given alternatives: The principal s...

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  17. Select the correct option from the given alternatives: The principal s...

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  18. Select the correct option from the given alternatives: The general sol...

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  19. Select the correct option from the given alternatives: If cosptheta = ...

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  20. Select the correct option from the given alternatives: If polar co-ord...

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