The reduced form of the trig expression is 7/2sin²2a
<h3>Trigonometry identity</h3>
Trigonometry identities are written in terms of sine, cosine and tangent. Given the trigonometry identity
14sin² acos² a
Since sin(a)cos(a) = sin2a/2, hence
14sin²acos²a = 14[sin(a)cos(a)]²
14sin²acos²a = 14(sin2a/2)²
14sin²acos²a = 14/4(sin²2a)
14sin²acos²a = 7/2sin²2a
Hence the reduced form of the trig expression is 7/2sin²2a
Learn more on trigonometry expression here: brainly.com/question/27904371
#SPJ1
