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Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-...

Let `f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot` Then find the maximum and minimum values of `f(x)dot`

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`f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)x`
`x in[-1,1]`
`f(x)=sinx+cosx+tan^(-1)x+pi/2+tanx`
`f'(x)=cosx-sinx+1/sqrt(1+x^2)+0+sec^2x`
`f'(x)>0`
f is increseing
range in[f(-1),f(1)]
`f(-1)=sini+cosi-tani-x/2+pi-pi/4`
...
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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  2. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

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  3. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

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  4. If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = ...

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  5. The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1...

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  6. f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical fu...

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  7. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

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  8. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

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  9. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

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  10. If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen

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  11. The mean and standard deviation of 100 observations were calculated as...

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  12. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a)(sqrt(3)-1...

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  13. Find the area bounded by y=sin^(-1)(sinx) and x-axis for x in [0,100pi...

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  14. Solve cos^(-1)(cosx)>sin^(-1)(sinx),x in [0,2pi]

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  15. If cos(2sin^(-1)x)=1/9, then find the values of xdot

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  16. Find the number of solution of 2tan^(-1)(tanx)=6-x

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  17. Find the value of sin(1/4cos^(-1)((-1)/9))

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  18. Find the value of sin(1/2cot^(-1)(-3/4))

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  19. Solve sin^(-1)(1-x)-2sin^(-1)x=pi/2

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  20. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

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