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Differential Calculus

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7 Mar 2010 22:03:17 IST

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f(x)=sin x+cos x and g(x)=tan x.Find the number of solutions of f(x)>g(x).

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f(x)=sin x+cos x and g(x)=tan x.Find the number of solutions of f(x)>g(x).

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rajnesh chaurasiya

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Joined: 22 Apr 2009

Posts: 294

7 Mar 2010 23:25:55 IST

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IF WE CONVERT F(X) INTO ROOT 2 SIN (X+ 45) FROM GRAPH IT LOOKS HAVE MANY POINTS

Deepak Aggarwal

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Joined: 9 May 2009

Posts: 766

8 Mar 2010 20:49:16 IST

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f(x) = sin(x) + cos(x) = (2)^1/2 sin(x + pi/4)

g(x) = tan(x)

As, f(x) > g(x)

COmpare the two functions. U can do it even graphically by seeing the values for which f(x) > g(x). Rate if useful.

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