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

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

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

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

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

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

Prove that sin^(-1)((8)/(17))+sin^(-1)((3)/(5))=cos^(-1)((36)/(85))

Prove that cot^(-1).(3)/(4) + sin^(-1).(5)/(13) = sin^(-1).(63)/(65)

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

Prove that: sin^(-1)((4)/(5))+sin^(-1)((5)/(13))+sin^(-1)((16)/(65))=(pi)/(2)

Prove that: tan^(-1)(63)/(16)=sin^(-1)(5)/(13)+cos^(-1)(3)/(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)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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