Angles are well behaved is they lie in first quadrent. They are intelligent if they make domain of f+g and g equal. Finally, the angles for which h(Φ) is defined are handsome. Find the tan of minimum, well behaved, intelligent, and handsome number. Given that

f(x)=√(βx²-2(β²-3)x-12β)

g(x)=ln (x²-49)

h(Φ)= ln[∫4cos² √t dt (limit o to Φ²) -Φ²]

Question

Angles are well behaved is they lie in first quadrent. They are intelligent if they make domain of f+g and g equal. Finally, the angles for which h(Φ) is defined are handsome. Find the tan of minimum, well behaved, intelligent, and handsome number. Given that

f(x)=√(βx²-2(β²-3)x-12β)

g(x)=ln (x²-49)

h(Φ)= ln[∫4cos² √t dt (limit o to Φ²) -Φ²]

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