Equation of Tangent at a Point (x,y) in Terms of f'(x)
The tangent t...
Question
The tangent to the curve given by,x=et.cost,y=et.sintatt=π4, makes an angle of with x-axis.
A
\N
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B
π4
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C
π3
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D
π2
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Solution
The correct option is Dπ2 dxdt=et⋅cost−et⋅sintdydt=et⋅cost+et⋅sintNow,dydx=dy/dtdx/dt=et⋅cost+et⋅sintet⋅cost−et⋅sint⇒dydx=cost+sintcost−sint(dydx)t=π4=√20∴Theanglethatthetangentmakeswithx−axisisπ2.