Step-by-step explanation:
The cosine double angle formula tells us that cos(²θ) is always equal to cos²θ- sin²θ. For example cos(60) = cos²(30) - sin² (30). We can use this identity to rewrite expressions or solve problems
The required identity for cos^2θ = (cos2θ+1)/2.
Identity for cos^2θ to be determine using cos(2θ) = 2cos^2θ-1.
Equation that enables trigonometric operators such as sin, cos.. etc.
Here, cos(2θ) = 2cos^2θ-1
cos(2θ) + 1 = 2cos^2θ
(cos(2θ) + 1)/2 = cos^2θ
Thus, the required identity for cos^2θ = (cos2θ+1)/2.
Learn more about trigonometry equations here:
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