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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
- Prove that: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)), x in [0,1]
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- Find the value of 4tan^(-1)(1/5)-tan^(-1)(1/(70))+tan^(-1)(1/(99))
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- Prove that :2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)\ 1/8=pi/4
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- The equation 2cos^(-1)x+sin^(-1)x=(11pi)/6 has a. no solution b. only...
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- Solve the equation tan^(-1) ((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4
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- Solve the equation x^(2)+(x/(x-1))^(2)=8
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- Find the complete solution set of sin^(-1)(sin5)> x^2-4x
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- The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]...
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- If cot^(-1)(n/pi)>pi/6,n in N , then the maximum value of n is 6 (b) ...
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- If tan^(-1)y=4tan^(-1)x, (|x| lt tan(pi) /8) , find y as an algebraic...
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- If A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(1/3)+sin^(-1)(3/5), then wh...
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- If [sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]=1, where [*] denotes the gre...
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- Transform sin^(-1)x in other inverse trigonometric function.
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- The value of sin^(-1)(-sqrt(3)/2)\ is: (A) (-pi)/3 (B) (-2pi)/3 (...
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- cos(2 tan^(-1)(1/7))equals: a."sin"(4cot^(-1)3) b. "sin"(3cot^(-1)4)...
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- The value of sec(sin^-1sin((-50pi)/9)+cos^-1cos((31pi)/9))
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- cos (cos^-1 cos((8pi)/7) +tan^-1 tan((8pi)/7)) has the value equal to ...
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- (sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , t...
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- If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...
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- "tan"(cos^(-1)x) is equal to a.x/(1+x^2) b. (sqrt(1+x^2))/x c.(sqrt(...
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