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Prove that "tan"^(-1)1/(2)+"tan"^(-1)1/(...

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

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

Prove that "tan"^(-1)2/(11)+"tan"^(-1)7/(24)="tan"^(-1)1/(2) .

Prove that "tan"^(-1)(1/4)+"tan"^(-1)(2/9)=1/2"tan"^(-1)(4/3) .

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

Prove that tan^(-1)((1)/(5)) +tan^(-1)((1)/(7)) +tan^(-1)((1)/(3)) +tan^(-1)((1)/(8)) = (pi)/(4) .

Prove that tan^(-1)(1)+tan^(-1)(2) +tan^(-1)(3) =pi .

If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (zx)/(yr) +"tan"^(-1) (xy)/(zr) =pi/2

Prove that: tan^(-1)(3/4)+tan^(-1)(3/5)-tan^(-1)(8/19)=pi/4

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

Solve the following equations "tan"^(-1)1/(3)+"tan"^(-1)1/(5)+"tan"^(-1)1/(7)+"tan"^(-1)x=pi/(4)

ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS
  1. Prove statement "sin"^(-1) 3/5+ "cos"^(-1)12/13="cos"^(-1) 33/65

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Prove the "tan"^(-1) 1/(x+y) + "tan"^(-1) y/(x^2=xy+1) ="tan"^(-1)1/x

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  19. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

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  20. Prove the sin^2(sin^(-1) x+sin^(-1) y+sin^(-1)z) =cos^2 (cos^(-1)x +c...

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