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 = acos3θ
y = asin3
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 asin2θ
For such questions, we should know the properties of trignometric functions and their different formulas.
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