Secant of Complement equals Cosecant/Examples/3 Theta

Example of Secant of Complement equals Cosecant

$\map \cos {90 \degrees - 3 \theta} = \csc 3 \theta$


Proof

From Secant of Complement equals Cosecant:

$\map \cos {90 \degrees - \theta} = \csc \theta$

The result follows by substituting $3 \theta$ for $\theta$.

$\blacksquare$


Sources

  • 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text V$. Trigonometry: Exercise $\text {XXXI}$: $7.$
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