Question

sec5A=cosec(A-36)findA​

Answer 1

Answer:

$sec \: 5A=cosec(A-36\degree) \: \\ \implies \: cosec \: (90 \degree - 5A) = cosec(A-36\degree) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: .. \{\because \: cosec \: (90 \degree - \theta) = sec \theta \} \\ \implies \: 90 \degree - 5A= A \: - \: 36\degree \\ \implies \: 90 \degree + 36 \degree = A+ 5A \\ \implies \: 126 \degree = 6A \\ \implies \: A = \frac{126\degree }{6} \\ \implies \huge \fbox{ A = 21 \degree}$