Question #b5ab2
3 Answers
Explanation:
Construct the point
Using the Pythagorean theorem, we have
The sine of an acute angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. Considering the right triangle
As it is clear that
(There are multiple ways of finding this, including using the inverse sine function or calculating it from a special right triangle, however
Substituting this value in, we have
Explanation:
Given
The cartesian co-ordinate of the point A is
If
This relation gives
Replacing
Explanation:
Drop a perpendicular from point
From right triangle
Therefore,
from which
Since