PIMSO 2025 - Mathematics - Secondary 3 - National Round Question 20

Question 20

Angle TOA measures 120°. What is $(\sin\theta+\cos\theta)^2$?

1. $1-\frac{\sqrt3}{2}$
2. $1+\frac{\sqrt3}{2}$
3. $\sqrt2+\frac{\sqrt3}{2}$
4. $\frac{\sqrt2+\sqrt3}{2}$