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If A+B+C = pi, prove that [[sin^2A,cot...

If A+B+C = `pi`, prove that
`[[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,cotC,1]]`=0

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...

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  3. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  4. Find the inverse of the following matrix using elementary transformati...

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  5. Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric ...

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  6. Prove that intdx/(1+cosx+sinx)=ln|1+tan""x /2|+c .

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  8. Give example of a function whose is continuous but not differentiable ...

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  9. If absveca=10,absvecb=1 and veca.vecb=0 then what is the value of |vec...

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  10. Express the value of sin "cos"^(-1) tan sec^(-1)sqrt2in simplest form.

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  11. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

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