Question

(10.02)

Which of the following is true? (5 points)

Select one:
A. Tangent is negative in Quadrant I.
B. Sine is negative in Quadrant II.
C. Cosine is negative in Quadrant III.
D. Sine is positive in Quadrant IV.

Thanks!

Answer 1

Tangent is positive in QUAD III

Explanation:

Hope this isnt too late, glad to help.

Answer 2

Hello!

The answer is:

C. Cosine is negative in Quadrant III

Why?

Let's discard each given option in order to find the correct:

A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).

B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.

C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.

D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)

Have a nice day!