Teaching EMRS PGT Mock Test 2023 Mathematics Differential Calculus Applications of Derivatives

The tangent to the curve given by x = et. cost, y = et. sin t at t = \(\frac{\pi}{4}\) makes with x-axis an angle:

1
0
2
\(\frac{\pi}{4}\)
3
\(\frac{\pi}{3}\)
4
\(\frac{\pi}{2}\)
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