Question

Can the sine or the cosine function ever equal 5? Why or why not

Answer 1

It can never become more than 1; 5 is much more later.

Reason -

The sin or cos always has the denominator as the hypotenuse length. Hypotenuse is always the longest side of a triangle; it can either be equal to length of base; or opposite side(in 0 or 90), but it can never be less than the value of base or opposite side which comes in numerator. clearly the fraction will hence not be improper; so the value will never exceed 1.

Answer 2

now by pythagorean thm,
\[r^2=x^2+y^2\] hence, \(r\) is greater than both "x" and "y"
the ratio of a smaller number to a bigger number can never go beyond "1"

Answer 3

In he section I learned it has not triangles, It looks like waves

Answer 4

haha.
It does not depend on what section you are learning. even if it is taught on Mars University, it will be the same thing.

Answer 5

you can keep changing the angles to get a "wave like" representation for both the functions.
It is just another form of representation

Answer 6

ok thank you

Answer 7

@qweqwe123123123123111 thank you for the appreciation

Answer 8

Np, Electrokid! You gave a fine explanation. :-)

And adillie: A circle is what you get when you draw a continuous line around a single point.
If you have a system where that center point keeps moving away in a single direction at a constant speed, but you keep drawing the circle as though it hadn't, you would end up with a sine wave.