Question

Step 1: cos(θ) = 1 - 2sin(θ)

Step 2: -1 + cos(θ) = -2sin(θ)
Step 3: 1 + cos(θ) = 2sin(θ)
Step 4: 1 - cos(θ)
Step 5: sin(θ)
Step 6: sin(θ) = 1 - cos(θ)
Step 7: sin(θ)
Step 8: sin(θ) = 1 - cos(θ)
Which step contains an error?

A) Step 2
B) Step 4
C) Step 6
D) Step 8

Answer 1

The error is in Step 4 where the expression 1 - cos(θ) is simplified to sin(θ), which is incorrect.

Step-by-step explanation:

The step that contains an error is Step 4: 1 - cos(θ).

The error is that the expression 1 - cos(θ) is not equivalent to sin(θ).

This is a mistake because there is no trigonometric identity that relates 1 - cos(θ) to sin(θ).

To correct the error, we should not simplify the expression 1 - cos(θ) in Step 4.