Question

If y= cos theta, then dy/d theta when theta=π

Answer 1

Answer:

y = a (1 – cos θ)

x = a ( θ + sinθ)

dy/dθ = a (0 -(-sinθ)) = a sin θ

dx/dθ = a (1+cos θ)

dy/dθ divided by dx/dθ = sin θ/ 1+cosθ

At θ = π/2

dy/dx = 1/1+0

dy/dx = 1

Answer 2

The first derivative of y with respect to θ (dy/dθ) is 0.

Given:

y= cos θ

To Find:

The first derivative of y with respect to θ (dy/dθ).

Solution:

We are required to find the first derivative of y with respect to θ (dy/dθ).

dy/dθ = d(cos θ)/dθ

dy/dθ = -sin θ  ------(1)

θ = π = 180°

Substitute the value of θ in equation(1) we get

dy/dθ = -sin π

dy/dθ = 0                  [∵ sin π = 0]

Therefore, The first derivative of y with respect to θ (dy/dθ) is 0.

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