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KUMAR PRAKASHAN-INVERSE TRIGONOMETRIC FUNCTIONS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
- Find the principal value of sin^(-1)(1/sqrt2)
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Playing Now - Find the principal value of cot^(-1)(-1/sqrt3).
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Play - Show that, sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,-1/sqrt2lexle1/sqrt2
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Play - Show that, sin^(-1)(2xsqrt(1-x^(2)))=2cos^(-1)x,1/sqrt2lexle1
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Play - Show that "tan"^(-1)1/2+"tan"^(-1)2/11="tan"^(-1)3/4
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Play - Express tan^(-1)((cosx)/(1-sinx)),-(3pi)/2ltxltpi/2 in the simplest fo...
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Play - Write cot^(-1)(1/sqrt(x^(2)-1)),xgt1 in the simplest form.
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Play - Prove that, tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(...
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Play - Find the value of cos(sec^(-1)x+cosec^(-1)x),|x|ge1
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Play - Find the value of sin^(-1)("sin"(3pi)/5).
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Play - Show that "sin"^(-1)3/5-"sin"^(-1)8/17="cos"^(-1)84/85
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Play - Prove that : "sin"^(-1)12/13+"cos"^(-1)4/5+"tan"^(-1)63/16=pi.
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Play - Simplify tan^(-1)[(acosx-bsinx)/(bcosx+asinx)], if a/btanxgt-1.
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Play - Solve the following equations : tan^(-1)(2x)+tan^(-1)(3x)=pi/4
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