63.9k views
22 votes
At which values of θ is the function y=sec θ undefined?

-all multiples of π
-odd multiples of π
-all multiples of π/2
-odd multiples of π/2

User Jian Zhong
by
8.2k points

2 Answers

9 votes

Final answer:

The function y = sec Θ is undefined at odd multiples of π/2, which are the angles where the cosine function equals zero.

Step-by-step explanation:

The function y = sec Θ is undefined at the values of Θ where its reciprocal, cos Θ, is equal to zero. The cosine function equals zero at odd multiples of π/2, which are the angles where the cosine curve intersects the x-axis. Therefore, the secant function is undefined at the angles Θ = (2n+1)π/2, where n is an integer. This corresponds to the angles π/2, 3π/2, 5π/2, and so on. To summarize, the function y = sec Θ is undefined at odd multiples of π/2.

9 votes

Answer:

odd multiples of
(\pi )/(2)

User Sebastian Nielsen
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories