F 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