If 𛼠and 𛽠are angles such that tan 𛼠= 3/4 and cos 𛽠= 8/17, determine the exact value of cos (𛼠- ð›½).
Added by Christian L.
Step 1
We know that tan 𝛼 = 3/4, so we can use the Pythagorean identity to find sin 𝛼: sin^2 𝛼 + cos^2 𝛼 = 1 sin^2 𝛼 + (3/5)^2 = 1 sin^2 𝛼 = 16/25 sin 𝛼 = 4/5 Show more…
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