Question

Which trigonometric values equal 0? .

a. Sin(3π)
b. Cos(-360 ˚)
c. Tan(900˚)
d. Cos(-5π /2)
e. Cot(0˚)

Answer 1

The trigonometric values that equal 0 are sin(3π), cos(270°) and cos(-3π/2). Tan(900°) and cot(0°) are undefined.

Step-by-step explanation:

The trigonometric values that equal 0 are:

• a. Sin(3π): The sine function equals 0 at angles that are multiples of π. So, sin(3π) = sin(π) = 0.
• b. Cos(-360°): The cosine function equals 0 at angles that are odd multiples of 90°. So, cos(-360°) = cos(270°) = 0.
• c. Tan(900°): The tangent function is undefined at angles that are odd multiples of 90°, so tan(900°) is undefined.
• d. Cos(-5π/2): The cosine function equals 0 at angles that are odd multiples of π/2. So, cos(-5π/2) = cos(-3π/2) = 0.
• e. Cot(0°): The cotangent function is undefined at angles that are multiples of 180°, so cot(0°) is undefined.