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Prove that : tan^(-1)1+tan^(-1)2+tan^(-1...

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

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" (i) "tan^(-1)1+tan^(-1)2+tan^(-1)3=pi

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

Pove that i) tan^(-1)1/2+tan^(-1)2/11=tan^(-1)3/4 ii) tan^(-1)2/11+tan^(-1)7/24=tan^(-1)1/2 iii) tan^(-1)1+tan^(-1)1/2+tan^(-1)1/3=pi/2 iv) 2tan^(-1)1/3+tan^(-1)/17=pi/4 v) tan^(-1)2-tan^(-1)1=tan^(-1)1/3 vi) tan^(-1)+tan^(-1)2+tan^(-1)3=pi vii) tan^(-1)1/2+tan^(-1)1/5+tan^(-1)1/8=pi/4 viii) tan^(-1)1/4+tan^(-1)2/9=1/2tan^(-1)4/3

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

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

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

Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4

Prove that : tan^(-1)2+tan^(-1)3=(3 pi)/(4)

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

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

NAGEEN PRAKASHAN-INVERES TRIGONOMETRIC FUNCTIONS-Exericse 2a
  1. If sin ^(-1) x=(1)/(3), then evaluate sin ^(-1) (2xsqrt(1-x^(2)))

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  2. prove that: 2 tan ^(-1)x =(1)/(3) tan^(-1).(1)/( 7) = (pi)/(4)

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

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  4. Prove that:tan^(-1)(m/n)+tan^(-1)((n-m)/(n+m))=[pi/4m/n >-1(-3pi)/4m/n...

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

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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 that : cot^(-1) 3 + cot^(-1).(3)/(4) = cot^(-1) .(1)/(3)

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  8. Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1...

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  9. If cos^(-1)x+cos^(-1)y+cos^(-1)=pi,p rov et h a tx^2+y^2+z^2+2x y z=1.

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  10. 4tan^(- 1)(1/5)=tan^(- 1)(1/70)+tan^(- 1)(1/99)+pi/4

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  11. Prove that : cos ^(-1) ((1- a^(2))/(1+a)) + cos ^(-1)((1-b^(2))/(1+b...

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  12. tan[1/2 sin^(-1)((2a)/(1+a^2)) + 1/2 cos^(-1)((1-a^2)/(1+a^2))]=

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  13. Prove that : cos^(-1).(3)/(5)+ cos^(-1).(12)/(13) = sin^(-1)((12)/(5)...

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  14. Prove that: sin^-1(3/5)-cos^-1(12/13)=sin^-1(16/65)

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  15. If cos^(-1)(x/2)+cos^(-1)(y/3) = theta, prove that 9x^2- 12xycostheta+...

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  16. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

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  17. Solve : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

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  18. (i) Solve : 4 sin ^(-1) .(5)/(x) + sin ^(-1).(12)/(x)=(pi)/(2) (ii)...

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  19. (i) Slove : tan ^(-1) (x+1)+ tan ^(-1) (x-1)= tan ^(-1). (8)/(31) ...

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  20. The value of tan^(-1)[(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^...

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