QuestionFind the value of using the Cosine rule: .
Studdy Solution
STEP 1
Assumptions1. The cosine rule is given by . The values of , , and are given as , , and respectively3. We are asked to find the exact value of as a surd
STEP 2
We will start by substituting the given values into the cosine rule.becomes
STEP 3
Calculate the squares of and .
STEP 4
Calculate the product .
STEP 5
Calculate the sum and difference on the right side of the equation.
STEP 6
Now, to find , we need to take the square root of both sides of the equation.becomesSo, the exact value of is .
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