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sin(cot^(-1)(tan(cos^(-1)x))) is equal t...

`sin(cot^(-1)(tan(cos^(-1)x)))` is equal to a) `x` b) `sqrt(1-x^2)` c) `1/x` d) none of these

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  2. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

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  3. sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d...

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  4. Write the value of tan^(-1){2sin(2cos^(-1)(sqrt(3))/2)}dot

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  5. Write the principal value of cos^(-1)(cos680^0)dot

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  6. What is the principal value of sin^(-1)(-(sqrt(2))/2)?

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  7. Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)...

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  8. Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

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  9. If sin^(-1)(1/3)+cos^(-1)x=pi/2,then find x

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  10. Write the value of 2sin^(-1)\ 1/2+cos^(-1)((a-b)/(a+b))

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  11. Evaluate: sin^(-1)(sin((3pi)/5))

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  12. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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  13. Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

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  14. Evaluate: tan{cos^(-1)(-7/(25))}

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  15. Evaluate: sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}

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  16. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2, find the value o...

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  17. If tan^(-1)x+tan^(-1)y=(4pi)/5, find cot^(-1)x+cot^(-1)ydot

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  18. If tan^(-1)x-cot^(-1)x=tan^(-1)""1/(sqrt(3)) find the value of xdot

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  19. If sin(cos^(-1)(5/13)+sin^(-1)x)=1 find the value of xdot

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  20. If cos(sin^(-1)(2/5)+cos^(-1)x)=0 find the value of xdot

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