Question

if sec 4A =cosec (A-20), where 4A is an acute angle, fid the value of a

Answer 1

Step-by-step explanation:

sec4A =cosec(A-20)

cosec(90-4A) =cosec(A-20)

90-4A=A-20

90+20=A+4A

5A=110

A=22

Answer 2

$\sec(4a) = \cosec(a - 20) \\ \\ \cosec(90 - 4a) = \cosec(a - 20) \\ \\ (90 - 4a) = (a - 20) \\ \\ 90 + 20 = a - 4a \\ \\ 5a = 110 \\ \\ a = \frac{110}{5} \\ \\ a = 22 \: answer \\ \\ \\ {\huge{\boxed{\mathbb{\purple{Stay \: strong}}}}}$