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Prove that: sin^(-1)(12)/(13)+cos^(-1)4/...

Prove that: `sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi`

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Show that (sin^(-1)(12))/(13)+(cos^(-1)4)/(5)+(tan^(-1)(63))/(16)=pi

Show that sin^(-1)'5/13+cos^(-1)'3/5=tan^(-1)'63/16 .

Prove that: sin^(-1)((5)/(13))+cos^(-1)((4)/(5))=(1)/(2)sin^(-1)((3696)/(4225))

Prove that sin^(-1)(5/13)+sin^(-1)(16/65)=cos^(-1)(4/5)

Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=pi

Prove that: cos^(-1)((12)/(13))+sin^(-1)((3)/(5))=sin^(-1)((56)/(65))

Let alpha=2tan^(-1)((1)/(2))+(sin^(-1)3)/(5) and beta=sin^(-1)((12)/(13))+cos^(-1)((4)/(5))+cos^(-1)((16)/(63)) be such that2sin alpha and cos beta are roots of the equation x^(2)-px+q=0, then (p-q) is

Prove that: sin^(-1)((3)/(5))+cos^(-1)((12)/(13))=sin^(-1)((56)/(65))

sin^(-1)(5/13)+tan^(-1)(12/5)=

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

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that tan^-1(1/7)+tan^-1(1/13)=tan^-1(2/9)

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  2. Prove that: tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

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  3. Prove that: sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi

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  4. Prove that: cos^(-1)(12)/(13)+sin^(-1)3/5=sin^(-1)(56)/(65)

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  5. If x=cos e c[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y="sec"[...

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  6. Evaluate: tan{2tan^(-1)(1/5)-pi/4}

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

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

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

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

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

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

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

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  14. Solve the equation : 2 tan^(-1) ( 2x - 1) = cos ^(-1) x .

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

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

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

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  18. If cj >0 for i=1,2,....., n prove that tan^(-1)((c1x-y)/(c1y+x)...

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  19. If tan^(-1)y=4tan^(-1)x(|x|<tanpi/8) , find y as an algebraic function...

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  20. If A=2tan^(-1)(2sqrt(2)-1)a n dB=3sin^(-1)(1/3)+sin^(-1)(3/5), then wh...

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