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Solution for Evaluate Tan 35° Tan 40° Tan 50° Tan 55° - CBSE Class 10 - Mathematics

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Question

Evaluate tan 35° tan 40° tan 50° tan 55°

Solution

tan 35° = tan (90° - 55°) = cot 55°

tan 40° = tan (90° - 50°) = cot 55°

tan 65° = 1

cot 55 tan 55∙ cot 50 tan 50 ∙ tan 45

1 ∙ 1 ∙ 1 = 1

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Solution Evaluate Tan 35° Tan 40° Tan 50° Tan 55° Concept: Trigonometric Ratios of Some Specific Angles.
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