Pythagoras' theorem in terms of trig functions is:Originally Posted by spiritualfields
There is an effect of the complementary angle theorom that I don't understand. For example:
sin squared(40) + sin squared(50) = sin squared(40) + cos squared(40) = 1
This previous statement's purpose was to show how sin(50) = cos(40), but what got me was the answer being equal to 1. Doing some experimenting, to see if this is a rule:
sin squared(10) + sin squared(80) = sin squared(10) + cos squared(10) = 1
and so on:
cos squared(10) + cos squared(80) = 1
sin squared(30) + sin squared(60) = 1
Why is it, when these functions are squared, that the answer = 1?
Hello,Originally Posted by spiritualfields
I've attached a diagram to show you what I've calculated.
If the sum of the 2 angles is 90° you are dealing with a right triangle.
The red line corresponds to and the blue line corrsponds to
According to the diagram is:
Plug in the sine values and you'll get the property you have detected.
The blue line corresponds to . So now you can easily complete the Pythagoran rule of the Sine and Cosine function.