Answer:
15 degrees
Step-by-step explanation:
Given the trigonometry equation cos^4(2x)=9/16
cos^4(2x)=9/16
This an also be expressed as;
(cos²2x)² = 9/16
cos²2x = ±√9/16
cos²2x = ±3/4
cos2x = √3/4
cos2x = √3/2
2x = arccos √3/2
2x = 30
x = 30/2
x = 15degrees
Hence the value of x is 15 degrees
