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Evaluate the following: cos^(-1)(cos((7p...

Evaluate the following: `cos^(-1)(cos((7pi)/6))`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of sin^(-1)(-3/2)+cos^(-1)(cos\ (7pi)/6) is a. (5pi)/6 b.pi/...

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  2. Evaluate the following: sin^(-1)(sin\ pi/4)

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  3. Evaluate the following: cos^(-1)(cos((7pi)/6))

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  4. Evaluate the following: sin^(-1)(sin(pi/4))

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  5. Evaluate the following: sin^(-1)(sin 10)

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  6. Evaluate the following: cos^(-1)(cos10) (ii) tan^(-1){tan(-6)}

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  7. Evaluate the following: cos^(-1)(cos4)

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  8. Prove that sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15

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  9. Find the number of solutions of (x ,\ y) which satisfy |y|=cosx\ a n d...

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  10. Prove that: tan^(-1)x+tan^(-1)1/x={pi/2,ifx >0-pi/2,ifx<0

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

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

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

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

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

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

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

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

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

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

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