A trail mix recipe calls for 3 cups of raisins and 4 cups of peanuts. Mitt made trail mix for a party and used 5 cups of raisins
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Answer:
Part 5.1.1:
Part 5.1.2:
Step-by-step explanation:
We are given that:
Part 5.1.1
Recall that:
Let θ = 2<em>A</em>. Hence:
Square the original equation:
Hence:
Subtract:
Take the square root of both sides:
Since 0° ≤ 2<em>A</em> ≤ 90°, cos(2<em>A</em>) must be positive. Hence:
Part 5.1.2
Recall that:
We can use the third form. Substitute:
Solve for cosine:
In conclusion:
(Note that since 0° ≤ 2<em>A</em> ≤ 90°, 0° ≤ <em>A</em> ≤ 45°. Hence, cos(<em>A</em>) must be positive.)