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Prove that: 2tan^(-1)1/2+tan^(-1)1/7=tan...

Prove that: `2tan^(-1)1/2+tan^(-1)1/7=tan^(-1)(31)/(17)`

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Prove : 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

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)(1/7)+tan^(- 1)(1/13)+..........+tan^-1 (1/(n^2+n+1))+......oo =pi/4

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

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

Prove the following : 2"tan"^(-1)1/2+"tan"^(-1)1/7="tan"^(-1)31/17

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

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

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

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Evaluate: tan{2tan^(-1)(1/5)-pi/4}

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  2. Evaluate: tan{1/2cos^(-1)(sqrt5/3)}

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  3. Prove that: 2tan^(-1)1/2+tan^(-1)1/7=tan^(-1)(31)/(17)

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  4. Prove that: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)), x in [0,1]

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  5. Find the value of 4tan^(-1)(1/5)-tan^(-1)(1/(70))+tan^(-1)(1/(99))

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

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  7. The equation 2cos^(-1)x+sin^(-1)x=(11pi)/6 has a. no solution b. only...

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  8. Solve the equation tan^(-1) ((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

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  9. Solve the equation x^(2)+(x/(x-1))^(2)=8

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  10. Find the complete solution set of sin^(-1)(sin5)> x^2-4x

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  11. The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]...

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  12. If cot^(-1)(n/pi)>pi/6,n in N , then the maximum value of n is 6 (b) ...

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  13. If tan^(-1)y=4tan^(-1)x, (|x| lt tan(pi) /8) , find y as an algebraic...

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  14. If A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(1/3)+sin^(-1)(3/5), then wh...

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  15. If [sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]=1, where [*] denotes the gre...

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  16. Transform sin^(-1)x in other inverse trigonometric function.

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  17. The value of sin^(-1)(-sqrt(3)/2)\ is: (A) (-pi)/3 (B) (-2pi)/3 (...

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  18. cos(2 tan^(-1)(1/7))equals: a."sin"(4cot^(-1)3) b. "sin"(3cot^(-1)4)...

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  19. The value of sec(sin^-1sin((-50pi)/9)+cos^-1cos((31pi)/9))

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  20. cos (cos^-1 cos((8pi)/7) +tan^-1 tan((8pi)/7)) has the value equal to ...

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