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The question contains an expression but not an equation. An expression cannot be solved.
Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
4*cos2(theta) = 1 cos2(theta) = 1/4 cos(theta) = sqrt(1/4) = ±1/2 Now cos(theta) = 1/2 => theta = 60 + 360k or theta = 300 + 360k while Now cos(theta) = -1/2 => theta = 120 + 360k or theta = 240 + 360k where k is an integer.
The identity for tan(theta) is sin(theta)/cos(theta).