Question

can sine or cosine ever equal 5? why or why not?
I think their value can never exceed 1 but not sure why or it that is even right.

Answer 1

since and cosine have a range of output values from -1 to 1

Answer 2

*sine and cosine ...

Answer 3

how do I support that answer

Answer 4

if we alter the parent function by mutliplying it by 5, then the new function will have a range between -5 and 5, but altering a function is not quite what the question is asking tho

Answer 5

depends on what your material defines sine and cosine to be

Answer 6

they are by default, functions of a right triangle whose hypotenuse is 1

Answer 7

what does that mean with the right triangle

Answer 8

1^2 = x^2 + y^2

as such, y = sqrt(1-x^2)

since a sqrt has no real value for negative numbers: 1-x^2 has to be 0 or positive

1 - x^2 >= 0

1 >= x^2

1 >= x

Answer 9

sine and cosine are functions that relate the ratio of the leg of a right triangle to the hypotenuse.

Answer 10

so, I don't quite undertstand the reas why they can never =5

Answer 11

if something is either red or blue, can it ever be green?

Answer 12

oh, because of sine =opp/hyp and cos=adj/hyp?

Answer 13

sine and cosine only have outputs from -1 and 1, as such they can never be 5 since 5 is not between -1 and 1

Answer 14

yes