If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? explain your steps in complete sentences.

Sin(x) = opposite over hypotenuse
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent

Everything revolves around a right triangle.
From the given equation, "sine of x equals square root of 2 over 2"

Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?

Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1

answer: the correct option is c.

explanation:

the equation of the parent function is,

if the graph is wider than the parent function then the function must be in the form of,

where the value of k must be less than of equal to 1. if k is more than 1 then the graph compressed.

if the graph is translated right by a units right then the the function is defined as function f(x-a) and if the graph is translated left by a units right then the the function is defined as function f(x+a)

since the graph shifts 2 units right therefore the function in in the form of,

the value of k must be less than of equal to 1.

so, the correct option is c.

in option 2b the value of k is 3> 1 so it show compression of f(x) and the option a and d shows the vertical shifts, therefore option a,b and d are incorrect.