A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is
1 answer:
You might be interested in
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
We can convert sec(α) to 1 / cos(α):
Multiply both layers of the first fraction by cos(α):
Create a common denominator. We can multiply the first fraction by (1 - cos(α)):
Simplify:
From the Pythagorean Identity, we know that cos²(α) + sin²(α) = 1 or equivalently, 1 - cos²(α) = sin²(α). Substitute:
Subtract:
Distribute:
Rewrite:
Split:
Factor the second fraction, and substitute sin²(α) for 1 - cos²(α):
Factor:
Cancel:
Divide the second fraction by cos(α):
Hence proven.