Question 138

If secθ + tanθ = √3 (0°≤ θ ≤ 90°), then tan 3θ is

secθ + tanθ = √3
$$sec 30^o = \frac{2}{\sqrt{3}}$$
$$tan30^o = \frac{1}{\sqrt{3}}$$
$$ sec 30^o + tan 30^o = \frac{2}{\sqrt{3}} + \frac{1}{\sqrt{3}} = \sqrt{3} $$
$$\theta = 30^o$$
$$tan 3\theta = tan3(30) = tan 90 = infinity$$
Option C is the correct answer

Need AI Help?

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.