Geometry
Graphs of Trigonometric Functions
Given that \( \sin 41 ^ \circ = \cos N ^ \circ \), where \( 0 \leq N \leq 90 \), what is the value of \(N\)?
If \(\sin\theta=\frac{\sqrt{5}}{5}\) and \(\frac{\pi}{2}<\theta<\pi,\) what is the value of \(\cos(-\theta)?\)
Let \(f(x)=\sin x\) and \(g(x)=\tan x.\) If \(g(f(\theta))\)=\(\frac{\sqrt{3}}{7}\), what is the value of \(g(f(-\theta))?\)
If \(\tan\theta=15,\) what is the value of \(-\tan(-\theta)?\)
If \(\cos\theta=\frac{\sqrt{7}}{5}\) and \(0<\theta<\frac{\pi}{2},\) what is the value of \(\tan(-\theta)?\)