Question #ac9a0

1 Answer
Dec 28, 2017

Convert to cos and verify

Explanation:

sec(\pi+x) = 1/(cos(\pi+x))

= 1/(cos\pi cosx-sin\pi sinx)

cos \pi = -1, sin \pi = 0 \implies
sec(\pi+x) = 1/(cosx\times -1 - \cancel(0 \times sin x))
sec(pi+x) = -secx