Question

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

Answer 1

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