Is there easier way out?

Geometry Level 4

If cos⁡(θ)=cos⁡(α)cos⁡(β)\cos(\theta)=\cos(\alpha)\cos(\beta) and tan⁡(θ+α2)tan⁡(θ−α2)=f(β)\tan(\frac{\theta+\alpha}{2})\tan(\frac{\theta-\alpha}{2})=f(\beta).

then find f(π6)f(\frac{\pi}{6})

Tanishq Varshney by Tanishq Varshney
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