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Evaluate the following: (i)sin^(-1)(sinp...

Evaluate the following: (i)`sin^(-1)(sinpi/4)` (ii) `cos^(-1)(cos2pi/3)` (iii)`tan^(-1)(tanpi/3)`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find x satisfying [tan^(-1)x]+[cot^(-1)x]=2, where [.] represents the ...

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  2. Evaluate the following: (i)sin^(-1)(sinpi/4) (ii) cos^(-1)(cos2pi/3) ...

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  3. Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c ...

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  4. If sin^(-1)(x^2+2x+2)+tan^(-1)(x^2-3x-k^2)>pi/2, then find the values ...

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  5. If cos^(-1)lambda+cos^(-1)mu+cos^(-1)gamma=3pi, then find the value o...

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  6. If sin^(-1)x1+sin^(-1)x2++sin^(-1)xnlt=-(npi)/2,n in N ,n=2m+1, mgeq1...

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

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

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

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

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

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

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

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  14. If cos e c^(-1)(cos e cx) and cos e c(cos e c^(-1)x) are equal functio...

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  15. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12)...

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

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

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  18. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/(x))=tan^(-1)(-7), then x is

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

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

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