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Question
Evaluate:
tan 42° tan 25° tan 48° tan 65° tan 45°
Evaluate
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Solution
Given: tan 42° · tan 25° · tan 48° · tan 65° · tan 45°
Step-wise calculation:
1. tan 45° = 1
2. tan 42° · tan 48°
= tan 42° · tan (90° – 42°)
= tan 42° · cot 42°
= 1
3. tan 25° · tan 65°
= tan 25° · tan (90° – 25°)
= tan 25° · cot 25°
= 1
4. Multiply:
1 · 1 · 1
= 1
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