Question
Download Solution PDFIf \(\rm \cos x=-\frac{1}{2}\), x lies in third quadrant, then tan x = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cos x = - (1/2)
Formula used:
Cos (180 + θ) = - cos θ
Calculation:
cos x = - (1/2)
⇒ cos x = cos (180 + 60)
⇒ cos x = cos 240
⇒ x = 240°
Tan 240° = tan (180 + 60)
⇒ tan 60° = √3
∴ The correct answer is √3.
Last updated on Jul 22, 2025
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