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Find the domain of definition the following function: `f(x)=(log)_(10)(1-(log)_7(x^2-5x+13))+cos^(-1)(3/(2+sin(9"pix")/2))`

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The correct Answer is:
`{7//3,25//9{`
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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
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  2. Find the domain of defination the following functions. f(x)=sqrt(3-...

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  3. Find the domain of definition the following function: f(x)=(log)(10...

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  4. Find the domain of defination the following functions. f(x)=e^(sin^...

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  5. f(x)=sqrt(sin(cosx))+ln(-2cos^2x+3cosx+1)+e^(cos^- 1)((2sinx+1)/(2sqrt...

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  6. sin^(-1) x+"cosec"^(-1)x at x=-1 is

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  7. Given is a partial graph of an even periodic function f whose period i...

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  8. sin^(-1)(sin.(7pi)/6) is

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  9. tan^(-1)("tan"(2pi)/3)

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  10. Evaluate each of the following cos^(-1) (cos""(5pi)/(4))

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  11. Evaluate each of the following sec^(-1) (sec ""(7pi)/(4))

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  12. Find the value of the following sin^(-1) (sin 5)

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  13. Find the value of the following cos^(-1) (cos 10)

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  14. The value of tan^(-1)tan(-6)is

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  15. Find the value of the following cot^(-1) (tan (-6))

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  16. Find the value of cos^(-1){1/sqrt2(cos((9pi)/10)-sin((9pi)/10))}.

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  17. Find sin^(-1)(sintheta).cos^(-1)(costheta),tan^(-1)(tantheta),cot^(-1)...

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  18. Prove each of the following tan^(-1) x=-pi +cot^(-1) 1/x=sin^(-1) (x...

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  19. If -1<x<0,t h e ncos^(-1)x is equal to sec^(-1)1/x (b) pi-sin^(-1)sqr...

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  20. Find the value of tan[cos^(-1) (1/2) + tan^(-1) ( - 1/sqrt3)]

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