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BODY BOOKS PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
- Evaluate sec^2(tan^-1 2)
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- cos^-1(5/13)-sin^-1(12/13)=..........
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- The values of tan^-1(a/b)-tan^-1((a-b)/(a+b))=?
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- show that sin^-1frac(3)(5)-sin^-1frac(8)(17)=cos^-1frac(84)(85)
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- If y=(tan^(-1)x)^2, show that (x^2+1)^2y2+2x(x^2+1)y1=2 .
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- Given x^2=cos2theta Write down theta using the inverse of cosine.
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- Given x^2=cos2theta Show that tan^-1((costheta+sintheta)/(costheta-sin...
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- Given x^2=cos2theta Write tan^-1((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2...
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- tan^-1x+tan^-1(1/x)=.............
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- sin^-1(sintheta)=...............
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- Prove that sin^-1(2xsqrt(1-x^2))=2sin^-1x
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- Show that sin^-1(3/5)-cos^-1(12/13)=cosec^-1(65/16)
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- Write one branch of sin^-1x other than principal branch.
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- Write the simplest form of sin^-1[xsqrt(1-x)-sqrtx.sqrt(1-x^2)]
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- Prove that cosec^-1x+sec^-1x=pi/2
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- If cos^-1(x//a)+cos^-1(y//b)=alpha, Prove that x^2/a^2-(2xy)/(ab)cosal...
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- Find the value of sin^-1(-1/2)+cos^-1(-1/2)
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- The value of cos[2tan^(-1)(-7)] is :a)49/50 b)-49/50 c)24/25 d)-24/25
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- Find the value of sin^-1(sin((3pi)/4))
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- sin^-1sinx=x if and only if a)x in R b)x in [(-pi)/2,pi/2] c)x in [-1...
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