SOLUTION: If sin 𝛼 + sin 𝛽 = 𝑝, cos 𝛼 − cos 𝛽 = 𝑞, where 𝑝 ≠ 0 and 𝑝 ≠ 𝑞, find cot(𝛼 − 𝛽) in terms of 𝑝 and 𝑞.
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-> SOLUTION: If sin 𝛼 + sin 𝛽 = 𝑝, cos 𝛼 − cos 𝛽 = 𝑞, where 𝑝 ≠ 0 and 𝑝 ≠ 𝑞, find cot(𝛼 − 𝛽) in terms of 𝑝 and 𝑞.
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Question 1204327: If sin 𝛼 + sin 𝛽 = 𝑝, cos 𝛼 − cos 𝛽 = 𝑞, where 𝑝 ≠ 0 and 𝑝 ≠ 𝑞, find cot(𝛼 − 𝛽) in terms of 𝑝 and 𝑞. Found 2 solutions by Edwin McCravy, math_tutor2020:Answer by Edwin McCravy(20064) (Show Source):
You can put this solution on YOUR website! If sin 𝛼 + sin 𝛽 = 𝑝, cos 𝛼 − cos 𝛽 = 𝑞, where 𝑝 ≠ 0 and 𝑝 ≠ 𝑞,
find cot(𝛼 − 𝛽) in terms of 𝑝 and 𝑞.
We use the sum/difference to product trig identities:
We use the trig identity with
Multiply top and bottom by q2:
Edwin
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