Which of the following is true? A Tangent is positive in Quadrant I. B Sine is negative in Quadrant II. C Cosine is positive in Quadrant III. D Sine is positive in Quadrant IV.

Respuesta :

The true statement in that a tangent is positive in quadrant I.

Answer:  The correct option is (A) Tangent is positive in Quadrant I.

Step-by-step explanation:  We are given to select the correct statement from the options provided.

The rule of signs for the trigonometric ratios in the four quadrants are as follows :

Quadrant I :    All the three ratios, tangent, sine and cosine are positive.

Quadrant II :   Only sine is positive, cosine and tangent are negative.

Quadrant III :  Only tangent is positive, sine and cosine are negative.

Quadrant IV :  Only cosine is positive, sine and tangent are negative.

Therefore, using the above rules, we can say that the options (B), (C) and (D) are incorrect.

Option (A) is correct because all the ratios are positive in Quadrant I and so is tangent.