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cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)...

`cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)`

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

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

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

Which of the following is/are correct? tan[cos^(-1)(4)/(5)+tan^(-1)(2)/(3)]=(17)/(6)cos[tan^(-1)(1)/(3)+tan^(-1)(1)/(2)]=(1)/(sqrt(2))cos2tan^(-1)((1)/(3))+cos(tan^(-1)2sqrt(2))=(14)/(15)cos[2cos^(-1)(1)/(5)+sin^(-1)(1)/(5)]=-(2sqrt(6))/(6)

Show that 1/2 cos^-1 (3/5) = tan^-1 (1/2) =pi/4 - 1/2 cos^-1( 4/5)

tan^(-1)((4)/(7))-tan^(-1)((1)/(5))=tan^(-1)((1)/(3))

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

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

The angle between tangents to the curves y=x^(2) and x^(2)=y^(2) at (1,1) is (A) cos^(-1)(4/5) (B) sin^(-1)(3/5) (C) tan^(-1)(3/4) (D) tan^(-1)(1/3)

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Prove that sin^(-1). 3/5 +cos^(-1) . 12/13 = sin^(-1). 56/65

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  2. Prove that sin^(-1) . 3/5 - sin ^(-1) . 8/17 = cos^(-1) . 84/85

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  3. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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  4. Prove that : tan^(-1)(63)/(16)=sin^(-1)5/(13)+cos^(-1)3/5

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  5. Prove that: sin^(-1)((3)/(5))+cos^(-1)((5)/(sqrt(26)))=tan^(-1)((19)/(...

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  6. Find the value of : 4(2 tan^(-1) . 1/3 +tan^(-1). 1/7)

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  7. Prove that :2tan^(-1)1/5+sec^(-1)(5sqrt(2))/7+2tan^(-1)\ 1/8=pi/4

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  8. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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

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  10. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

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  11. Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

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  12. Solve tan^(-1)2x+tan^(-1)3x=pi/4.

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  13. Solve tan^(-1) ((x+1)/(x-1)) + tan^(-1) ((x-1)/x) = tan^(-1)(-7)

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  14. Solve : tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=pi/4

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  15. Solve sin^(-1) (1 - x) - 2 sin^(-1) x = (pi)/(2)

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

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  17. Solve : 2 tan^(-1), (cos x) = tan^(-1), (2 cosec x)

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  18. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ta...

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  19. Solve the following equations : tan^(-1) (x+1) +tan^(-1) (x-1) = ...

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  20. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ...

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