Find the value of (tan 55°) / (cot 35°).

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Step 1: Recall the identity cot θ = 1 / tan θ./

Step 2: Substitute cot 35° = 1 / tan 35°.

Step 3: The expression becomes (tan 55°) / (1 / tan 35°) = tan 55° × tan 35°.

Step 4: Note that 55° + 35° = 90°, so tan 55° = cot 35° = 1 / tan 35°.

Step 5: Therefore, tan 55° × tan 35° = 1.

Hence, the value of (tan 55°) / (cot 35°) is 1.

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