Is Pythagoras theorem related to trigonometry?

Question

I need to know if pythagoras theorem is a part of trigonometry? or, is trigonometry just about sine, cosine and tangent??

thnx guys, but can u list your sources as well??

Answer 1

Trigonometry is the study of triangles. Sine, cosine, and tangent are three of the most basic functions regarding right triangles, however, there is a considerable amount more that can go into the study of trigonometry. Since Pythagorean's Theorem relates the three sides of a right triangle, yes, it is certainly a part of trigonometry.

Interestingly enough, you can actually write Pythagorean's Theorem in terms of sine and cosine! I do not know how much trigonometry you've learned so far, but follow along if you can.

Say you have a right triangle with sides a, b, and c. (As usual, a and b are the two legs, and c is the hypotenuse.)

Pythagorean's Theorem states that a^2 + b^2 = c^2.

I can divide both sides of this by c^2 to get:
(a^2/c^2) + (b^2/c^2) = 1

Now, I can rewrite this as:
(a/c)^2 + (b/c)^2 = 1

However, if you were to pick one of the angles inside the triangle (not including the right angle), and call it x, then a/c and b/c would be the sine and cosine of x! (Draw the triangle to see that this is true).

So, the last equation can be rewritten as:
sin(x)^2 + cos(x)^2 = 1

That's actually just a disguised form of the Pythagorean Theorem--written with sines and cosines!

Answer 2

The Pythagorean Theorem is a fundamental theorem upon which a LOT of things are based on, and YES it is part of trigonometry. Trigonometry also deals with sine, cosine, tangent, cosecant, secant, cotangent, law of sines, law of cosines, trigonometric identities, and so on...

As you get deeper into the study of trigonometry, you will find that a LOT of the formulas and principles can be traced back to the pythagorean theorem (The law of Cosines, for example, is a form of the pythagorean theorem that extends to non-right triangles).

Answer 3

Actually it is called the Pythagorean theorem, discovered by the Greek mathematician Pythagoreus. It comes from geometry. Trigonometry is another branch of math altogether.

Answer 4

Pythagorean theorum is used in trigonometry, but generally in more complex ways than you will see in geometry. Sometimes we would use trig to determine a side length based on angles, then use Pythagorean theorum to fill in the gaps.

Answer 5

Pythagoreum theorum has to go with geometry and trigonometry is something different.

Answer 6

No;trig has nothing to do with pythagorean theorem

Answer 7

pythagoras theorom is just a part of the huge chapter dealing trignometry. you will study about it later. i hope so.