Prove that (case 28 - 1)tan?6 =
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The "co-" in cotangent is short for complementary -- that is, the tangent of an angle is equal to the complementary tangent (cotangent) of the complementary angle. As such, we can write
cot30∘=tan(90∘−30∘)=tan60∘.
Hence, we can write
tan60∘+cot30∘1−tan60∘cot30∘=tan60∘+tan60∘1−tan60∘tan60∘=2tan60∘1−tan260∘=tan(2(60∘))=tan120∘
Step-by-step explanation:
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