The red graph is the result of a vertical translation, 4 units down, of the black graph.
This means that, whenever the black graph associates
The red graph must associate 4 less to the same input:
So, the equation for the red graph is
or, equivalently,
Answer:
Step-by-step explanation:
Let be an acute angle.
To solve: , we take the sine inverse of both sides to obtain:
Recall composition property of a function and its inverse function.
We apply this property to the left hand side to obtain;
We now use our scientific calculator to obtain;
We round to the nearest tenth to obtain;