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If tan^(-1)(sin^2theta-2sintheta+3)+cot^...

If `tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^(sec^2(y))+1)=pi/2,` then value of `cos^2theta-sintheta` is equal to 0 (b) `-1` (c) `1` (d) none of these

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Column I, Column II (a)sin^(-1)x+x >0, (p) x<0 (b)cos^(-1)x-x >...

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  2. The product of all values of x satisfying the equation sin^(-1)cos((2x...

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  3. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^(sec^2(y))+1)=pi/2, the...

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  4. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 ...

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  5. The exhaustive set of value of a for which a-cot^(-1)3x=2tan^(-1)3x+co...

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  6. If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b)...

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  7. The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 ...

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  8. If sin^(-1)(x^2-4x+5)+cos^(-1)(y^2-2y+2)=pi/2 then find the value of x...

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  9. Find the value of x for which sec^(-1)x+sin^(-1)x=pi/2dot

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  10. Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin...

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  11. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+pq...

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  12. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  13. Solve for real values of x :((sin^(-1)x)^3+(cos^(-1)x)^3)/((tan^(-1)x+...

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  14. If x1, x2, x3, x4 are roots of the equation x^4-x^3sin2beta+x^2cos2bet...

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  15. If tan^(-1)y=4tan^(-1)x then prove that x^4-6x^2+1=0 when 1/y = 0 and ...

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  16. Find the number of positive integral solution of the equation tan^(-1)...

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  17. Find the sum cosec^(-1)sqrt(10)+cosec^(-1)sqrt(50)+cosec^(-1)sqrt(170)...

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  18. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

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  19. If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

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  20. If f(x)=sin^(-1)x then prove that lim(x-&gt;1/2)f(3x-4x^3)=pi-3lim(x-...

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