Question

If sin(x) = squareroot 2 over 2 what is cos(x) and tan(x)

Answer 1

cos(x) = square root 2 over 2; tan(x) = 1

Explanation:

`(√(2) )/(2)`

was, before it was rationalized,

`(1)/(√(2) )`

Therefore,

`sin(x)=(1)/(√(2) )`

The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,

`cos(x)=(1)/(√(2) )=(√(2) )/(2)` and

since tangent is side opposite (1) over side adjacent (1),

tan(x) = 1