The lengths of three sides of a triangle are sec θ, 1, and tan θ (θ ≠ 90°). The value of the greatest angle of the triangle is
(a) 30°
(b) 45°
(c) 60°
(d) 90°
WBBSE
Class X
Mathematics
Trigonometric Ratios And Trigonometric Identities
01 Mark
2025
(d) 90°
Explanation:
We know from trigonometry:
sec²θ = 1 + tan²θ
This follows Pythagoras’ theorem, which only applies in a right-angled triangle.
Since sec θ is the longest side, the largest angle must be 90°.
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