Question

D

What is the value of csc(20) at x =
dx
377
?
2
Choose 1 answer:
A
0
B
-1
С
1
1
2

Answer 1

A. 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Function Notation

Pre-Calculus

• Unit Circle

Calculus

• Derivatives
• Derivative Notation
• Derivative of csc(x) =
  `(d)/(dx) [csc(x)] = -csc(x)cot(x)`

Explanation:

Step 1: Define

`(d)/(dx) [csc(x)]\\x = (3 \pi)/(2)`

Step 2: Differentiate

1. Differentiate:
   `(d)/(dx) [csc(x)] = -csc(x)cot(x)`

Step 3: Evaluate

1. Substitute in x:
   `-csc((3 \pi)/(2) )cot((3 \pi)/(2) )`
2. Evaluate:
   `0`