Question

Simplify the expression: −2(4cos(0)⋅2sec^2(0)tan^2(0)sec^4(0)).

A) 0
B) −16
C) 16
D) This expression is undefined

Answer 1

To simplify the expression −2(4cos(0)⋅2sec^2(0)tan^2(0)sec^4(0)), we can start by evaluating the trigonometric functions. Since cos(0) = 1 and sec(0) = 1/cos(0) = 1/1 = 1, the expression simplifies to −2(4⋅2⋅1⋅1). Simplifying further, we have −2(8) = -16.

Therefore, the simplified expression is -16.

Step-by-step explanation:

To simplify the expression −2(4cos(0)⋅2sec^2(0)tan^2(0)sec^4(0)), we can start by evaluating the trigonometric functions.

Since cos(0) = 1 and sec(0) = 1/cos(0) = 1/1 = 1, the expression simplifies to: −2(4⋅2⋅1⋅1).

Simplifying further, we have: −2(8) = -16.

Therefore, the simplified expression is -16.