Question

Select all that have a value of 0.
cos π/2
cos 0
sin 0
sin 3π/2
tan π​

Answer 1

• cos(π/2)
• sin(0)
• tan(π)

Explanation:

You want to know which trig functions on the given list have a value of zero.

Trig functions

Sine

The sine function is zero at x=0 and multiples of π.

Cosine

The cosine function is zero at x = π/2 and for odd multiples of π.

Tangent

The tangent function is zero at x=0 and multiples of π. It is zero in the same places the sine function is zero.

List values

These values are zero:

• cos(π/2)
• sin(0)
• tan(π)

These function values are something different:

• cos(0) = 1
• sin(3π/2) = -1