sinθ + cosθsinθ-cosθ=7 হলে secθ এর মান কত?

sinθ + cosθsinθ-cosθ=7 হলে secθ এর মান কত? Correct Answer ±53

= > {(sin θ + cos θ)/(sin θ — cos θ)} = 7 = > {(sin θ + cos θ + sin θ — cos θ)/(sin θ + cos θ — sin θ + cos θ)} = {(7 + 1)/(7 - 1)} = > {(2 sin θ)/(2 cos θ)} = (8/6) = > tan θ = (4/3) = > tan² θ = (16/9) আবার, sec²θ = 1 + tan²θ = 1 + (16/9) = (9 + 16)/9 = 25/9 ∴sec θ = ✓(25/9) = ± (5/9)