Question

Which of the following is negative? A. Cos(-89°) B. Tan(-120°) C. Sin (120°) D.Sin (-89°)

Answer 1

Answer:

D) Sin (-89°)

Step-by-step explanation:

0° - 90° = Quadrant 1

90° - 180° = Quadrant 2

180° - 270° = Quadrant 3

270° - 0° = Quadrant 4

In Quadrant 1, All (Sin, Cos, Tan) are positve for all value of theta.

In Quadrant 2, Sine is positive and Cos & Tan are negative for all value of theta.

In Quadrant 3, Tan is positive and Sin & Cos are negative for all value of theta.

In Quadrant 4, Cos is positive and Sin & Tan are negative for all value of theta.

(Remember this as A,S,T,C for 4 quadrants : All, Sine, Tan, Cos)

Thus in given question we have Sin (-89°) = Sine in quadrant 4 which is negative.