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Evaluate : tan35^0tan40^0tan45^0tan50...

Evaluate : `tan35^0tan40^0tan45^0tan50^0tan55^0`

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To evaluate the expression \( \tan 35^\circ \tan 40^\circ \tan 45^\circ \tan 50^\circ \tan 55^\circ \), we can use the properties of trigonometric functions, particularly the relationship between tangent and cotangent. ### Step-by-Step Solution: 1. **Identify the angles**: We have the angles \( 35^\circ, 40^\circ, 45^\circ, 50^\circ, \) and \( 55^\circ \). 2. **Use the identity**: Recall that \( \tan(90^\circ - \theta) = \cot(\theta) \). This means: - \( \tan 50^\circ = \cot 40^\circ \) ...
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