If x = e θ s i n θ - c o s θ , y = e θ s i n θ + c o s θ then d y d x at θ = π 4 is

Question

If x = e θ s i n θ - c o s θ , y = e θ s i n θ + c o s θ then d y d x at θ = π 4 is, 1, 0, 1 2, 2

MARKS App · Accepted Answer

dx d θ = e θ cos θ + sin θ + sin θ - cos θ e θ = 2 e θ sin θ dy d θ = e θ cos θ - sin θ + sin θ + cos θ e θ = 2 e θ cos θ dy dx = dy d θ dx d θ = 2e θ cos θ 2e θ sin θ = cot θ dy dx | θ = π 4 = cot π 4 = 1 dy dx = 1

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