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BODY BOOKS PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
- Express tan^-1((1-sinx)/cosx) in the simplest form.
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- Prove that tan^-1(1/2)-tan^-1(2/5)=tan^-1(1/12)
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- In which quadrants are the graph of cos^-1(x) lies,x in [-1,1]
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- If cos^-1x+cos^-1y=pi/3,then sin^-1x+sin^-1y=………..
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- if tan^-1x+tan^-1y=pi/4 then prove that x+y+xy=1
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- Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x...
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- Evaluate tan^-1[2cos(2sin^-1(1/2)].
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- Prove that sin^-1(8/17)+sin^-1(3/5)=cos^-1(36/85)
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- The principal value of tan^-1(-1) is [pi/4,-pi/4,pi-pi/4,pi+pi/4]
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- If tan^-1 2+tan^-1 3=x, find x in radian
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- Find the principal value of sec^-1(-frac(2)(sqrt3))
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- Prove : tan^-1x=sec^-1sqrt(1+x^2).
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- Prove the following : tan^(-1)sqrtx=1/2 cos^(-1)((1-x)/(1+x)),x in[0,1...
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- Show that tan^-1(x/(sqrt(a^2-x^2)))=sin^-1(x/a)
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- Find the principal value of cos^-1(frac(sqrt3)(2))
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- In proving the result 3sin^-1x=sin^-1(3x-4x^3) Substitute x=
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- Prove that 3 sin ^(-1) x = sin^(-1) (3x - 4x^3), x in [-1/2,1/2]
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- Within the domain of definitions prove that sin^-1(-x)=-sin^-1x
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- tan^-1(tantheta)=
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- Show that tan^-1(costheta/(1+sintheta)) is independent of trigonometri...
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