Give the signs of the sine, cosine, and tangent trigonometric functions of the vector with the endpoint (-4, 4)
A)sine, positive; cosine, negative; tangent, positive
B)sine, positive; cosine, negative; tangent, negative
C)sine, positive; cosine, positive; tangent, positive
D)sine, negative; cosine, negative; tangent, negative

Question

Quizplus · Accepted Answer

To find the signs of the trigonometric functions, we need to determine which quadrant the vector (-4,4) is in. We can do this by looking at the signs of the coordinates:
- The x-coordinate is negative, which means the vector is to the left of the origin.
- The y-coordinate is positive, which means the vector is above the origin.

Therefore, the vector is in the second quadrant. In the second quadrant, sine is positive and cosine is negative. To determine the sign of tangent, we can use the fact that tangent is equal to sine over cosine. Since sine is positive and cosine is negative in this quadrant, tangent must be negative. Therefore, the correct answer is B: sine is positive, cosine is negative, and tangent is negative.

Give the Signs of the Sine, Cosine, and Tangent Trigonometric