Secant of Conjugate Angle/Examples/Conjugate of 3 x

Example of Secant of Conjugate Angle

$\map \sec {360 \degrees - 3 x} = \sec 3 x$

Proof

From Secant of Conjugate Angle:

$\map \sec {2 \pi - \theta} = \sec \theta$

The result follows by setting $\theta = 3 x$.

$\blacksquare$

Sources

• 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text V$. Trigonometry: Angles larger than $90 \degrees$: Examples