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Write whether the following statements a...

Write whether the following statements are true or false.
The equation `"tan"^(-1)("cot"x)=2x` has exactly two real solutions.

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ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS
  1. Write whether the following statements are true or false. 2"sin"^(-1...

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  2. Write whether the following statements are true or false. "tan"^(-1)...

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  3. Write whether the following statements are true or false. The equati...

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  4. Express the value of"sin"(2"sin"^(-1) 0.6 ) in simplest form.

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  5. Express the value of the following in simplest form. "tan"(pi/(4)+2"...

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  6. Express the value of the following in simplest form. "cos"(2"sin"^(-...

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  7. Express the value oftan("cos"^(-1)x) in simplest form.

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  8. Express the value of "tan"^(-1)(x/y)-"tan"^(-1)((x-y))/((x+y) in simpl...

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

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  10. Express the value of "sin"^(-1)1/sqrt5 +"cos"(-1) 3/sqrt(10) in simple...

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  11. Express the value of the following in simplest form. "sin("" cos"^(-...

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  12. Express the value of the following in simplest form. "sin"(2"tan"^(-...

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  13. Express the value of the following in simplest form. "tan"{1/(2)"sin...

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  14. Express the value of the following in simplest form. "sin("" cot"^(-...

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  15. Express the value of the following in simplest form. "tan"^(-1)(x+sq...

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  16. Prove statement "sin"^(-1) 3/5+ "sin"^(-1) 8/17="cos"^(-1) 36/85

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  17. Prove statement "sin"^(-1) 3/5+ "cos"^(-1)12/13="cos"^(-1) 33/65

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  18. Prove statement "tan"^(-1) 1/7+ "tan"^(-1)1/13="tan"^(-1) 2/9

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  19. Prove that "tan"^(-1)1/(2)+"tan"^(-1)1/(5)+"tan"^(-1)1/8=pi/(4).

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  20. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

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