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MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
- If 0 < x < 1, then : sqrt(1+x^1)[{ x cos(cot^-1x) + sin (cot^-1 x}^2 -...
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- If tan^(-1) y = tan^(-1) x + tan^(-1)((2x)/(1 -x^(2)))", where" |x| lt...
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- Find the value of sin^-1(sin(4pi)/5)
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- show that: 2 sin^-1(3/5) = tan^-1(24/7)
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- Write the value of tan^(-1)[2sin(2cos^(-1)""sqrt(3)/2)].
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- show that tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4
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- If tan^-1((x-2)/(x-4)) + tan^-1((x+2)/(x+4)) = pi/4 find the value of ...
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- Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)
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- Show that 2sin^-1(3/5)-tan^-1(17/31) = pi/4
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- Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)),...
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- If tan^-1 x + tan^-1y - tan^-1z = 0, then prove that x + y + xyz = z.
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- Let f(x) = sin (pi/6 sin (pi/2 sinx)) for all x inR and g(x) = pi/2 si...
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- If alpha = 3 sin^(-1) (6/11) " and "beta = 3 cos^(-1) (4/9) , where ...
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- Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...
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- Let f(-pi/2,pi/2) rarr R be given by (log(sec x + tan x))^3. Then
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- A function f: Z rarrrZ is defined as below f(x) = {:{(x+3, if x is od...
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- The number of linear functions satisfying f(x+f(x))=x+f(x),forall x ...
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- If cot^-1 7 + cot^-1 8 + cot^-1 18 = cot^-1 k, then k is
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- If f: R rarrR satisfying:f(x-f(y)) = f(f(y) +f(x)-1, for all x, y in R...
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- Let a and b be constants f(x) = a sin x + bx cos x + 2x^2 If f(3) = 15...
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