Rewrite the expression in terms of the first power of the cosine: tan^4x

Your answer is    tan⁴x = (3 - 4 cos 2x + cos 4x) / (3 + 4 cos 2x + cos 4x)    ======note that tan⁴ x = (tan x)⁴; all exponent properties apply normally.so we can break down tan⁴ x into tan² x  · tan² x since we have the exponent property  bˣ · bʸ = bˣ ⁺ ʸ. then we can use an identity that involves the square of tangent:     next, we use a tangent power-reducing identity. we do this because we want to, quite literally, reduce the power until it gets to the first power of cosine.  so we have    to substitute into our original expression.    expand this fraction using methods for expanding a product of two binomials    in order to lower the power of those second powers of cosine, we use the cosine power-reducing identity for the cos²2x terms, except with  . the original identity:     so back into our original work:     multiply numerator and denominator of the entire fraction by 2. the 2s will distribute so that we get rid of those little two denominators:     we've now rewritten in terms of first power of cosine.

Something that is true about that is that it has numbers