Question

What are the formulas for trigonometry and pythagoras?

Answer 1

The Pythagorean Theorem is a² + b² = c² and used for right-angled triangles. Trigonometry involves ratios like sine, cosine, and tangent, as well as the Law of Sines and the Law of Cosines for solving triangles.

Step-by-step explanation:

The Pythagorean Theorem and trigonometric formulas are foundational concepts in mathematics, particularly within the field known as trigonometry. The Pythagorean Theorem, which was detailed by the ancient Greek philosopher Pythagoras, expresses a relationship between the sides of a right-angled triangle: a² + b² = c², where 'c' is the length of the hypotenuse and 'a' and 'b' are the lengths of the triangle's other two sides.

Trigonometric formulas define the relationships between the angles and sides of a right-angled triangle. The primary trigonometric ratios are sine (θ) = opposite/hypotenuse, cosine (θ) = adjacent/hypotenuse, and tangent (θ) = opposite/adjacent. There are also formulas for trigonometric identities and laws such as the Law of Sines (a/sin α = b/sin β = c/sin γ) and the Law of Cosines (c² = a² + b² - 2ab cos γ), which are useful in solving for unknown sides and angles in various triangles.

Answer 2

That's not a good question at all. It's a lot like asking
"What are the statements for News and President Obama ?"

There are at least a hundred formulas that are useful in trigonometry.
One of the most useful is:

In a right triangle, the square of the length of the hypotenuse
is equal to the sum of the squares of the two short sides.

Pythagoras is the name of the ancient Greek mathematician who
discovered that formula. The formula is so useful that it's known
by his name, in his honor.