Answered

If sin theta > 0 and cos theta > 0, then the terminal point determined by theta is in:

Aquadrant 4.
Bquadrant 3.
Cquadrant 1.
Dquadrant 2.

Verified Answer :

calculista

Answer:

The answer is the option C

quadrant \(1\)

Step-by-step explanation:

we have

\(sin(\theta) > 0\) ------> The angle \(\theta\) can be in the first or second quadrant

\(cos(\theta) > 0\) ------> The angle \(\theta\) can be in the first or fourth quadrant

therefore

The common quadrant for both cases is the first quadrant

the terminal point determined by theta is in the first quadrant

Lanuel

The terminal point determined by angle (θ) is in the first quadrant (quadrant 1). Thus, option C is correct.

How to determine the terminal point?

In Trigonometry, an angle (θ) can either be in the first or second quadrant when the magnitude of sin(θ) is greater than zero (0). Similarly, an angle (θ) can either be in the first or fourth quadrant when the magnitude of cos(θ) is greater than zero (0)

Based on the information above, we can logically deduce that the first quadrant is common to both sin(θ) > 0 and cos(θ) > 0.

This ultimately implies that, the terminal point determined by angle (θ) is in the first quadrant (quadrant 1).

Read more on terminal point here: https://brainly.com/question/4256586

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