Question

The degree measure of an angle in a right triangle is x and sin x=1/3 what's the cos

Answer 1

The sine of an angle is the opposite over the hypotenuse so it can be inferred that the opposite of 'x' is 1 and the hypotenuse is 3.

The cosine of an angle is the adjacent over the hypotenuse, so you need to use pythagorean theorem to find the adjacent and place that over the hypotenuse.


`a^(2) +b^(2) = c^(2)`

If 'a' is the opposite and 'b' is adjacent we can manipulate the equation to find the missing value.


`b^(2) = c^(2) - a^(2)`

Answer 2

`0.943`

Explanation:

Given

`Sin X = (1)/(3) \\X = Sin^(-1) (1)/(3) \\X = 19.45\\`

The cosine of this angle would be

`= Cos (19.45)\\= 0.943\\`