Question

As the angle θ increases to 90°, the value of tan(θ):

Option 1: Increases
Option 2: Decreases
Option 3: Remains constant
Option 4: Becomes undefined

Answer 1

As the angle θ increases to 90°, the value of tan(θ) decreases.

Step-by-step explanation:

As the angle θ increases to 90°, the value of tan(θ) decreases.

This is because as the angle approaches 90°, the tangent function approaches infinity, and at 90°, the tangent function is undefined.

For example, when θ is 45°, tan(θ) is 1, but as θ gets closer to 90°, tan(θ) becomes larger and larger (approaching infinity).