Question

verification by formula and is equals to 360 theta minus theta minus 1 is equals to 120​

Answer 1

Answer:

sin(theta) = a / c. csc(theta) = 1 / sin(theta) = c / a. cos(theta) = b / c. sec(theta) = 1 / cos(theta) = c / b.

Explanation:

Trigonometrical ratios of some particular angles i.e., 120°, -135°, 150° and 180° are given below.

1. sin 120° = sin (1 × 90° + 30°) = cos 30° = √32;

cos 120° = cos (1 × 90° + 30°) = - sin 30° = - 12;  

tan 120° = tan (1 × 90° + 30°) = - cot 30° = - √3;

csc 120° = csc (1 × 90° + 30°) = sec 30° = 2√3;

sec 120° = sec (1 × 90° + 30°) = - csc 30° = - 2;

tan 120° = tan (1 × 90° + 30°) = - cot 30° = - √3;

cot 120° = cot (1 × 90° + 30°) = - tan 30° = - 1√3.