QuestionFind the exact value of without a calculator.
Studdy Solution
STEP 1
Assumptions1. We are dealing with trigonometric functions, specifically sine and cosine.
. We are working in degrees, not radians.
3. We are looking for an exact value, so we won't be using any approximations or calculators.
STEP 2
We need to recognize that the sine of an angle is equal to the cosine of its complementary angle. In other words, for any angle x,
STEP 3
In this problem, we see that and are complementary angles because they add up to . Therefore, we can say that
STEP 4
Substitute with in the original expression.
STEP 5
Calculate the result of the expression.
So, the exact value of the expression is .
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