Question

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

Answer 1

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.

Answer 2

odd multiples of
`(\pi )/(2)`