When you use sine and cosine to solve the value of 0 for the two triangles below, you obtain the same value. Why do you think this happened?

The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Step-by-step explanation:

In these definitions, the terms opposite, adjacent, and hypotenuse refer to the lengths of the sides.

For example, if we want to recall the definition of the sine, we reference S\blueD{O}\purpleC{H}SOHS, start color #11accd, O, end color #11accd, start color #aa87ff, H, end color #aa87ff, since sine starts with the letter S. The \text{\blueD{O}}Ostart text, start color #11accd, O, end color #11accd, end text and the \text{\purpleC{H}}Hstart text, start color #aa87ff, H, end color #aa87ff, end text help us to remember that sine is \text{\blueD{opposite}}oppositestart text, start color #11accd, o, p, p, o, s, i, t, e, end color #11accd, end text over \text{\purpleC{hypotenuse}}hypotenusestart text, start color #aa87ff, h, y, p, o, t, e, n, u, s, e, end color #aa87ff, end text!

The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.