Prove that sum of intercepts of the tangent at any poin to the curve represented by `x = 3cos^(4)0 " & " y=3sin^(4)0` on the coordinate axis is constant.

Explanation

To prove that the sum of the intercepts of the tangent at any point on the curve represented by \( x = 3 \cos^4 \theta \) and \( y = 3 \sin^4 \theta \) on the coordinate axes is constant, we will follow these steps:

### Step 1: Find the coordinates of the point on the curve
The coordinates of any point \( P \) on the curve are given by:
\[ P(3 \cos^4 \theta, 3 \sin^4 \theta) \]

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