If then a+b+c=

The correct answer is: 7

A branch of mathematics called trigonometry deals with triangles. The study of relationships between triangle lengths and angles is known as trigonometry.
The applications of trigonometry and its formulas are countless. For instance, the triangulation method is used in satellite navigation systems, astronomy, and geography to calculate the distances between landmarks and neighbouring stars.
In the mathematical field of algebra, letters are used in place of numbers. An algebraic equation represents a scale; anything done with a number on one side of the scale likewise applies to either side of the scale. The figures are fixed. Real numbers, complex numbers, matrices, vectors, and many more concepts are all part of algebra. The most typical letters used to express algebraic equations and problems are X, Y, A, and B.
Here we will use the formula:
a³ – b³ = (a – b)(a² + ab + b²)
So, using this formulas, we get:
cosec⁶θ−cot⁶θ = (cosec²θ−cot²θ)(cosec⁴θ + cosec²θ.cot²θ + cot⁴θ)
cosec⁶θ−cot⁶θ = (cosec⁴θ + cosec²θ.cot²θ + cot⁴θ)
Now we know the formula: cosec²θ−cot²θ = 1
$Using\; this,\; we\; get:$
cosec⁴θ+cosec²θ.cot²θ+cot⁴θ=cosec²θ(cosec²θ+cot²θ)+cot⁴θ=(1+cot²θ)(1+2cot²θ)+cot⁴θ
=1+3cot²θ+3cot⁴θ
$So,\; here\; we\; have\; a,\; b\; and\; c,\; we\; get:$
$a+b+c\; =\; 1\; +\; 3\; +\; 3$
$a+b+c\; =\; 7$

So here we have used the trigonometric functions and trigonometric formulas to solve this, the algebraic expressions were used to formulate it. Here the answer of a+b+c is 7.