QuestionSolve for in (acute) and find .
Studdy Solution
STEP 1
Assumptions1. The equation is . is an acute angle3. We need to find the value of
STEP 2
First, we need to find the value of . We can do this by rearranging the given equation to solve for .
STEP 3
Now, we need to find the value of . We can do this by taking the inverse cosine (or arccosine) of .
STEP 4
Now that we have the value of , we can find the value of . We know that .
STEP 5
We know the value of but we don't know the value of . However, we can find using the Pythagorean identity .
STEP 6
Substitute the value of into the equation to find .
STEP 7
Calculate the value of .
STEP 8
Now that we have the values of and , we can find the value of .
STEP 9
Calculate the value of .
STEP 10
Now that we have the value of , we can find the value of .
STEP 11
Calculate the final value.
The value of is3..
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