Angle between sine and cosine curve at the point of intersection in the interval $\left[0, \frac{\pi

Question

Angle between sine and cosine curve at the point of intersection in the interval $\left[0, \frac{\pi}{2}\right]$ is

Professor PC Thomas Classes · Answer

Intersecting at $x=\pi/4$. Slopes $m_1=1/\sqrt{2}, m_2=-1/\sqrt{2}$. $	an	heta = |\frac{m_1-m_2}{1+m_1m_2}|$ simplifies to $2\sqrt{2}$.