QuestionCalculate the value of without a calculator.
Studdy Solution
STEP 1
Assumptions1. We are working in degrees, not radians.
. We are asked to find the exact value of the expression, so we will use known exact values of sine and cosine for specific angles.
3. We know the exact values of and .
STEP 2
We start by finding the exact value of .
The exact value of is known to be .
STEP 3
Next, we find the exact value of .
Unfortunately, there is no known exact value for in terms of simple radicals or rational numbers. However, we can express in terms of other known values.We know that .
STEP 4
Now, we need to find the exact value of .
Unfortunately, there is also no known exact value for in terms of simple radicals or rational numbers.
STEP 5
Therefore, the exact value of the expression cannot be simplified further and is left as .
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