Question
Download Solution PDFWhat is the value of (tan 10° tan 80° + tan 20° tan 70° + tan 30° tan 60° + tan 40° tan 50°)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
tan θ = cot(90 - θ)
cot θ = 1/tan θ
Calculation:
⇒ (tan 10° tan 80° + tan 20° tan 70° + tan 30° tan 60° + tan 40° tan 50°)
⇒ (tan 10° cot 10° + tan 20° cot 20° + tan 30° cot 30° + tan 40° cot 40°)
⇒ 1 + 1 + 1 + 1
⇒ 4
∴ Option 1 is the correct answer.
Last updated on May 28, 2025
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