Worksheet: Product-to-Sum Identities
In this worksheet, we will practice using the product-to-sum identity to simplify and evaluating trigonometric expression.
Q3:
Simplify .
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Q4:
Write the expression as a sum or difference of trigonometric expressions.
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Q5:
Find the exact value of .
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Q6:
Write the expression as a product of trigonometric expressions.
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Q7:
Find the value of given .
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Q8:
Find given and where and are acute angles.
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Q9:
The intensity of an electric current is given by where is the time in seconds. Find the intensity after one second without using a calculator using sum and product formulae.
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Q10:
Find the value of .
Q11:
Find the value of .