If cos x=8/17, and 270° < x < 360°
what is cos(2x)?
2 answers:
Answer: 
<u>Step-by-step explanation:</u>
Given: cos x =
, x is in Quadrant 4
Use Pythagorean Theorem to find sin x:
8² + y² = 17²
y² = 17² - 8²
y² = 289 - 64
y² = 225
y = 15
→ sin x = 
Use the double angle formula to find cos (2x):

Answer:
- 
Step-by-step explanation:
Using the trigonometric identity
cos(2x) = 2cos²x - 1
given cosx =
, then
cos(2x) = 2(
)² - 1
= 2 ×
- 
=
-
= - 
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