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For the principal values, evaluate the f...

For the principal values, evaluate the following: `sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3)))`
`sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2))`
`sin^(-1)[cos{2cos e c^(-1)(-2)}]`
`cos e c^(-1)((2tan(11pi))/6)`

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(i) `sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3)))`
`=>-(pi)/3-(pi)/3`
`=>-(2(pi))/3`
(ii) `sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2))`
`=>(pi)/4-2(pi)/4`
...
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  3. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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

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

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  10. If tan^(-1)(sqrt(3))+cot^(-1)x=pi/2,t h e nfin dxdot

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

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

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  13. Evaluate: sin^(-1)(s in(3pi)/5)

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  14. If (tan^(-1)x)^(2)+(cot^(-1)x)^(2)=(5 pi^(2))/(8), then the value of x...

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  18. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=(2pi)/3, find the valu...

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

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

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