Question

Write \( \cos ^{2}(7 x)+\sin ^{2}(7 x) \) as one trigonometric function.

Answer 1

Using the identity \( \cos ^{2}(x)+\sin ^{2}(x)=1 \), we can simplify the expression as follows:

\( \cos ^{2}(7 x)+\sin ^{2}(7 x)=1 \cdot 1 = \boxed{1} \)