Best solutions to - "Problem: If, A + B + C =..."

Carly Cannon

Answered question

2022-07-05

Problem: If,

A + B + C = 90 °

then find the minimum value of

13 \tan^{2} (A) + 9 \tan^{2} (B) + \tan^{2} (C)

bap1287dg

Beginner2022-07-06Added 13 answers

Step 1
Hint

\sum_{cyc} (p \tan A - q \tan B)^{2} \geq 0

Solve for

\frac{p^{2} + u^{2}}{13} = \dots = m

p q = r s = t u = n

to use

\sum_{cyc} \tan A \tan B = 1

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