QuestionMHF4UZ - Assessment \#6 Night School Dec 02, 2024
Name of Student: Student ID:
Q. 1 Simplify each expression: Write the formula you will use to solve the Trig function
a)
b)
Studdy Solution
STEP 1
1. We need to simplify trigonometric expressions using known trigonometric identities.
2. For part (a), the expression resembles the cosine of a sum identity.
3. For part (b), the expression can be simplified using the product-to-sum identities or angle sum identities.
STEP 2
1. Simplify part (a) using the cosine of a sum identity.
2. Simplify part (b) using trigonometric identities.
STEP 3
Recognize that the expression in part (a) is of the form:
This matches the cosine of a difference identity:
STEP 4
Apply the identity to simplify the expression:
STEP 5
Calculate the cosine of :
Thus, the simplified expression for part (a) is:
STEP 6
For part (b), recognize the expression:
This resembles the sine of a difference identity:
STEP 7
Apply the identity to simplify the expression:
STEP 8
Thus, the simplified expression for part (b) is:
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