Question
Download Solution PDFIf tan 53° = 4/3, then, what is the value of tan8°?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
tan 53° = 4/3
Formula Used:
tan(x – y) = (tanx – tany)/(1 + tanxtany)
Calculation:
We know, 8° = 53° - 45°
Tan8° = tan(53° - 45°)
⇒ tan8° = (tan53° - tan45°)/(1 + tan53° tan45°)
⇒ tan8° = (4/3 – 1)/(1 + 4/3 × 1)
⇒ tan8° = (1/3)/(7/3)
⇒ tan8° = 1/7
Last updated on Jul 9, 2025
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