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Question
Evaluate the following:
tan 20° – cot 70°
Evaluate
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Solution
Given: tan 20° – cot 70°
Step-wise calculation:
1. Use the complementary-angle identity cot θ = tan (90° – θ).
2. Therefore, cot 70° = tan (90° − 70°)
= tan 20°
3. So, tan 20° − cot 70°
= tan 20° − tan 20°
= 0
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