129k views
4 votes
If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
1) sec Θ = undefined

User MarkNS
by
8.2k points

1 Answer

4 votes

Answer:

The secant function is undefined for angles where the cosine function equals zero, because dividing by zero is undefined. Therefore, we need to find the values of Θ where cos Θ = 0.

The cosine function equals zero at 90° and 270° (or π/2 and 3π/2 in radians), so we have:

cos 90° = 0, cos 270° = 0

Therefore, the angles that satisfy sec Θ = undefined are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer (positive, negative, or zero) that allows us to generate all possible angles in the range 0° ≤ Θ ≤ 360°.

So, the solutions for Θ are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer.

Explanation:

User Sensanaty
by
8.6k points

Related questions

asked Jul 18, 2024 199k views
Putr asked Jul 18, 2024
by Putr
7.3k points
1 answer
0 votes
199k views
asked Mar 18, 2024 19.5k views
SDF asked Mar 18, 2024
by SDF
7.4k points
1 answer
1 vote
19.5k views
asked Dec 6, 2024 158k views
Fvisticot asked Dec 6, 2024
by Fvisticot
8.2k points
1 answer
5 votes
158k views