The reduced form of Sin⁴(6x) in terms of the first power of Cosine is; 1 - 1/4(Cos (24x)).
Reducing Trigonometric identities
It follows from the task content that;
- Trigonometric identity, Sin⁴(6x) = 1 - Cos⁴(6x)
Hence, from product identity;
- Cos⁴(6x) = (1/2) (Cos²(12x)
Upon further use of the product identity;
- (1/2) (Cos²(12x) = 1/4(Cos (24x)).
On this note, it follows that use of the power reducing formula on the function sin⁴(6x) is;
Read more on power reducing formula;
https://brainly.com/textbook-solutions/q-exercises-35-38-use-power-reducing-formulas-c7freu
