Maths-

General

Easy

Question

# The length of the tangent of the curves is

Hint:

### We have to find the length of the tangent. We are given the values of x and y as function of . We will use the formula of length of tangent to find the value.

## The correct answer is:

### The given values of x and y are as follows:

x = acos^{3}θ

y = asin^{3}

The formula for length of tangent is

Length =

We will first differentiate x and y w.r.t θ and then find

Differentiating x w.r.t θ

Differentiating y w.r.t θ

Now,

We will substitute this value in the formula of length of tangent.

So, length of the tangent is asin^{2}θ

For such questions, we should know the properties of trignometric functions and their different formulas.

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