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Prove statement "sin"^(-1) 3/5+ "sin"^(-...

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

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Prove statement "sin"^(-1)4/5 +2"tan"^(-1) 1/3= pi/2

Prove the Statement: "sin"^(-1)12/13-"sin"^(-1) 3/5 ="sin"^(-1) 33/65

Prove statement "cos"" tan"^(-1) " cot sin"^(-1) x =x

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

Solve: "sin"^(-1) x - "cos"^(-1)x="cos"^(-1) sqrt3/2

Show that "sin"^(-1)(8/17)+"sin"^(-1)(3/5)="cos"^(-1)(36/85) .

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

Prove statement 2"tan"^(-1) 1/5 + "sec"^(-1) (5sqrt2)/7 +2 "tan"^(-1) 1/8 = pi/4

Prove that: sin^(-1)(3/5)+sin^(-1)(8/17)=tan^(-1)(77/36) .

ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS
  1. Express the value of the following in simplest form. "sin("" cot"^(-...

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

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

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

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

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

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

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  8. Prove the following statements "cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=...

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  9. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

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  10. Prove statement 4 "tan"^(-1) 1/5 -"tan"^(-1) 1/70 + "tan"^(-1) 1/99 = ...

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  11. Prove that 2"tan"^(-1)(1/(5))+"sec"^(-1)((5sqrt(2))/(7))+2"tan"^(-1)(1...

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  12. Prove statement "cos"^(-1) 12/13 +2"cos"^(-1) sqrt(64/65) +"cos"^(-1) ...

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  13. Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6

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  14. Prove the following statements "cos"" (tan"^(-1)"(cot"" (sin"^(-1)x)...

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  15. Prove statement "cot"^(-1)("tan"2x) +"cot"^(-1)(-"tan"2x) = pi

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  16. Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

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  17. Prove statement "tan"^(-1)((a-b)/(1+ab)) +"tan"^(-1)((b-c)/(1+bc)) ="...

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  18. Prove statement "cot"^(-1)(pq+1)/(p-q) +"cot"^-1(qr+1)/(q-r) +"cot"^(-...

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  19. Prove statement"tan"^(-1) (a-b)/(1+ab)+"tan"^(-1)(b-c)/(1+bc) +"tan"^-...

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  20. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

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