Question

find the value of all trigonometric values of (120π)​

Answer 1

Answer:

Step-by-step explanation:

90 degree and 180 degree

180° – 60° = 120° ———– (1)

90° + 30° = 120° ———— (2)

Let’s use these now.

Cos 120° = cos(180° – 60°) = – cos 60° = -½ (since cos(180° – x) = – cos x)

Cos 120° = cos(90° + 30°) = – sin 30° = -½ (we know that cos (90° + x) = -sin x)

Cos 120

Other trigonometric ratios for different angles are:

Trigonometry Ratio Table

Angles (In Degrees) 0 30 45 60 90 180 270 360

Angles (In Radians) 0 π/6 π/4 π/3 π/2 π 3π/2 2π

sin 0 1/2 1/√2 √3/2 1 0 −1 0

cos 1 √3/2 1/√2 1/2 0 −1 0 1

tan 0 1/√3 1 √3 Not Defined 0 Not Defined 0

cot Not Defined √3 1 1/√3 0 Not Defined 0 Not Defined

cosec Not Defined 2 √2 2/√3 1 Not Defined −1 Not Defined

sec 1 2/√3 √2 2 Not Defined