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Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x...

Let `cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot` If `x` satisfies the equation `a x^3+b x^2+c x-c_1=0,` then the value of `(b-a-c)` is_________

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi a...

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  2. The number of solutions of "cos"(2sin^(-1)("cot"(tan^(-1)(sec(6cos e c...

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  3. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the e...

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  4. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is (a) 6 (b...

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  5. If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal functions, then...

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  6. cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to (a) sqrt(2)-1 (b) p...

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  7. The value of sin^(-1)("cot"(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)((sqr...

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  8. The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equ...

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  9. The value of cos(1/2cos^(-1)(1/8)) is (a)3/4 (b) -3/4 (c) 1/(16)...

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  10. Solve the equation tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7...

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  11. Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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

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

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

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

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

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

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

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

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

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