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Questions
Evaluate tan 35° tan 40° tan 45° tan 50° tan 55°
Evaluate the following without using a table:
tan 35° tan 50° tan 40° tan 55° tan 45°
Sum
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Solution
Given:
tan 35° tan 40° tan 45° tan 50° tan 55°
= tan 35° × tan 40° × tan 45° × tan 50° × tan 55°
= tan(A) × tan(90° − A) = 1
tan 35° × tan 55° = 1
tan 40° × tan 50° = 1
tan 45° = 1
= 1 ⋅ 1 ⋅ 1
= 1
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