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If sin^(-1) (x^(2) + 2x + 2) + tan^(-1) ...

If `sin^(-1) (x^(2) + 2x + 2) + tan^(-1) (x^(2) - 3x - k^(2)) gt (pi)/(2)`, then find the value of k

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c ...

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  3. If sin^(-1) (x^(2) + 2x + 2) + tan^(-1) (x^(2) - 3x - k^(2)) gt (pi)/(...

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  4. If cos^-1 lambda + cos^-1 mu + cos^-1 gamma = 3 pi, then find the valu...

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  5. Find the values of a for which sin^(-1)x=|x-a| will have at least one ...

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  6. Find the value of sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot...

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  7. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

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  8. Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi a...

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

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

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

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

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

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

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

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

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

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

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

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

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