Question
Download Solution PDFIf tan α = 6, then sec α equals to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Tan α = 6
Concept used:
Tan θ = P/B
Sec θ = H/B
Where, P = perpendicular; B = base; H = hypotenuse
Formula used:
Pythagorean theorem:
H2 = P2 + B2
Where, P = perpendicular; B = base; H = hypotenuse
Calculation:
Tan α = 6/1 = P/B
Using Pythagorean theorem:
⇒ H2 = P2 + B2
⇒ H2 = (6)2 + (1)2
⇒ H = √37
Sec α = H/B = √37
∴ The correct answer is √37.
Last updated on Jun 13, 2025
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