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Write the principal value of cos^(-1)[co...

Write the principal value of `cos^(-1)[cos(680^0)]dot`

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`cos^(–1) (cos (680^@)) = cos^(–1) [cos (720^@ – 40^@)] `
`cos^(-1)[cos(-40^@)]=cos^(-1)[cos(40^@)]=40^@=>frac{2pi}{9}`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  2. Write the principal value of tan^(-1)sqrt((3))-cot^(-1)sqrt((-3)) .

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  8. The principal value of sin^(-1)[cos(sin^(-1)'1/2)] is pi/3.

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  9. Find the set of values of "c o s e c"^(-1)((sqrt(3))/2)

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  10. Write the value of tan^(-1)(1/x) for x<0 in terms of cot^(-1)(x) .

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  12. Write the value of cos((tan^(-1)x+cot^(-1)x)/3) , when x=-1/(sqrt(3)) ...

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  13. If cos(tan^(-1)x+cot^(-1)sqrt(3))=0 , find the value of xdot

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  14. Find the value of 2\ sec^(-1)2+sin^(-1)(1/2) .

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

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  16. Find the value of the following: cos^(-1)(cos(13pi)/6)

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  17. 8. Find the principal value of tan^-1( tan (9pi)/8)

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