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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
- If (cos ^(-1) x)^(2)-(sin ^(-1) x)^(2) gt 0 then
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- If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=
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- If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...
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- If sin ^(-1) x=(pi)/(5) then cos ^(-1) x=
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- If sin^(-1) ((2a)/(1 +a^(2))) + sin^(-1) ((2b)/(1 + b^(2))) = 2tan^(-1...
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- If tan ^(-1) x-tan ^(-1) y=-(pi)/(4) then
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- If sum(i=1)^(20) sin ^(-1) x(l)=10 pi then sum(i=1)^(20) x(i)=
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- If sec ^(-1) x+sec ^(-1) y+sec ^(-1) z=3 pi then x y+y z+z x=
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- tan ^(-1)((1)/(3))+tan ^(-1) (1)/(7)+tan ^(-1) (1)/(13)+…..+tan ^(-1) ...
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- Sum of ten terms of the series cot ^(-1) 3+cot ^(-1) 7+cot ^(-1) 13+...
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- If tan ^(-1)[(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1 x^(2)...
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- The value of cot ^(-1)((sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sq...
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- If u=cot ^(-1)(sqrt(cos theta))-tan ^(-1)(sqrt(cos theta)) then x=
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- Sin^(-1) (x - (x^(2))/(2) + (x^(3)) /4+(-x^(4))/8) …....... + cos^(-1)...
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- cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =
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- If cos ^(-1) (x)/(2)+cos ^(-1) (y)/(3)=theta, then 9 x^(2)-12 x y cos ...
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- cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=
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- If f(x)=sin ^(-1)[(sqrt(3))/(2) x-(1)/(2) sqrt(1-x^(2))],-(1)/(2) le x...
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- If sum(i=1)^(2 n) cos ^(-1) x(i)=0, then sum(i=1)^(2 pi) x(i)=
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- The principal value of cos^(-1) {1/sqrt2 ("cos"(9pi)/10 - "sin"(9pi)/1...
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