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Solve the following equations "tan"^(-...

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

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

Prove that "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) .

Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1/3

Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(4)) .

Directions Prove the following "tan"^(-1)1/(4)+"tan"^(-1)2/(9)=1/(2)"cos"^(-1)3/(5)=1/(2)"sin"^(-1)4/(5) .

Directions (Q. Nos. 27 and 28) Solve the following equations: "tan"^(-1)x/(2)+"tan"^(-1)x/(3)=pi/(4),sqrt(6)gtxgt0

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

SHARAM PUBLICATION-INVERSE TRIGNOMETRIC FUNCTIONS-EXAMPLE
  1. If "cos"^(-1)(x/y) +"cos"^-1(y/3)= theta, "prove that" 9x^2- 12xy "co...

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  2. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

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  3. Solve the following equations "tan"^(-1)1/(3)+"tan"^(-1)1/(5)+"tan"^...

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  4. Solve: 3 "sin"^(-1) (2x)/(1+x^2) -4"cos"^(-1) (1-x^2)/(1+x^2) +2 "tan"...

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  5. Solve:"cot"^(-1) 1/(x-1) + "cot"^(-1) 1/x +"cot"^(-1) 1/(x+1) = "cot"^...

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  6. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

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  7. Prove the "tan"("tan"^(-1)x +"tan"^(-1) y + "tan"^(-1)z)="cot"("cot"^-...

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  8. Solve : tan^(-1)x+tan^(-1)((2x)/(1-x^2))=pi/2

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

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

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

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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 that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...

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  14. Prove that: tan^(-1)(x)=2tan^(-1)(cosec tan^(-1)x-tan cot^(-1)x)

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  15. Prove that cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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  16. Prove that: cos^(-1)(4/5)+cos^(-1)(12/13)=cos^(-1)(33/65)

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  17. Solve: 2tan^(-1)(sinx)=tan^(-1)(2secx),x!=pi/2.

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  18. Prove that (9pi)/(8) -(9)/(4) sin^(-1)((1)/(3)) =(9)/(4) sin^(-1)((2sq...

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  19. Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...

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  20. Prove that sin^(-1)((4)/(5)) +sin^(-1)((5)/(13)) +sin^(-1)((16)/(65)...

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