MATH SOLVE

4 months ago

Q:
# Which of the following is true?Tangent is negative in Quadrant I.Sine is negative in Quadrant II.Cosine is negative in Quadrant III.Sine is positive in Quadrant IV.

Accepted Solution

A:

Answer: The true statements are (C) Cosine is negative in Quadrant III.Step-by-step explanation: We are given to select the correct statement from the given options.We know thatIn Quadrant I - all the trigonometric ratios are positive.In Quadrant II - Sine is positive, cosine and tangent are negative.In Quadrant III - Tangent is positive, sine and cosine are negative.In Quadrant IV - Cosine is positive, Tangent and Sine are negative.Option (A) is Tangent is negative in Quadrant I - FALSE, since all the ratios are positive in Quadrant I.Option (B) is Sine is negative in Quadrant II - FALSE, since Sine is positive in Quadrant II.Option (C) isCosine is negative in Quadrant III - TRUE, since Cosine is negative in Quadrant III.Option (D) is Sine is positive in Quadrant IV - FALSE, since Sine is negative in Quadrant IV.Thus, (C) is the correct statement.