Evaluate: 2 tan² 45° + cos² 30° - sin² 60°

Simplify: cosecθ(1 – cosθ)(cosecθ + cotθ)

If cot ⁡A + cos ⁡A = p, cot ⁡A - cos ⁡A = q, then what is the value of p²- q²?​​

What is the value of sin 20° cos 10° + cos 20° sin 10°?

If sin x = $$\frac 35$$​ and x ∈ (0, $$\frac{\pi}2$$​), then find $$\frac{1+\tan x}{1-\tan x}$$​​