Inactive Tutor answered 05/26/22
Steven L.
asked 05/26/22Establish the identity. tan v − 1 / tan v +1 = 1 − cot v / 1 + cot v
Which of the following statements establishes the identity?
A. tan v - 1 / tan v + 1 = tan v - 1 / tan v + 1 x tan v + 1 / tan v + 1 = tan2v - 1 / (tan v + 1)2 = 1 - cot v / 1 + cot v.
B. tan v - 1 / tan v + 1 = 1 / sec v - 1 / 1 / sec v + 1 = (1 / sec v - 1 ) x sec v / (1 / sec v + 1 ) x sec v = 1 - cot v / 1 + cot v.
C. tan v - 1 / tan v + 1 = 1 / cot v - 1 / 1 / cot v + 1 = (1 / cot v - 1) x cot v / (1 / cot v + 1) x cot v = 1 - cot v / 1 + cot v.
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