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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
- If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...
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- "Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(zx)/(ysqrt(x^(2)+...
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- "Tan"^(-1)(c(1)x-y)/(c(1)y+x)+"Tan"^(-1)(c(2)-c(1))/(1+c(2)c(1))+"Tan"...
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- If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......
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- If a(1),a(2),a(3),....,a(n) is an A.P. with common difference d, then ...
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- If x^(2)+y^(2)+z^(2)=r^(2), then Tan^(-1)((xy)/(zr))+Tan^(-1)((yz)/(xr...
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- If u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan^(-1)(sqrt(cos 2 theta)), then...
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- If 0lexle1/2, then Sin^(-1)x+Sin^(-1)(x/2-sqrt(3-3x^(2))/2)=
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- If 1/2lexle1 then Cos^(-1)x+Cos^(-1)(x/2-sqrt(3-3x^(2))/2)=
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- If y is infinite and tan^(-1)y=4tan^(-1)x then
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- If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+z=
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- If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=pi//2 then 1 - xy - yz - zx =
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- If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=
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- If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi//2,"then "x^(2)+y^(2)+z^(2)+2xyz=
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- If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+y...
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- If Sec^(-1)sqrt(1-x^(2))+Cosec^(-1)(sqrt(1+y^(2)))/y+"Cot"^(-1)1/z=3pi...
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- If Cos^(-1)(x/a)+Cos^(-1)(y/b)=theta,"then "x^(2)/a^(2)-(2xy)/(ab)cost...
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- If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(...
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- If Sin^(-1)x+Sin^(-1)y=2pi//3,"then "Cos^(-1)x+Cos^(-1)y=
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- If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=(3pi)/2, then the value of x^(100)+y^...
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