Question

if sec 4A=cosec(A-20°),where 4A is an acute angle,find the value of A​

Answer 1

Answer:

sec 4A = cosec (A - 20°)

cosec (90°- 4A) = cosec (A - 20°)                  (secθ=cosec(90° - θ)

comparing angles

90°-4A = A-20°

90°+20° = 4A+ A

110° = 5A

A= 110°/5

A= 22°

Step-by-step explanation:

Answer 2

$\sec(4a) = \cosec(a - 20) \\ \\ \cosec(90 - 4a) = \cosec(a - 20) \\ \\ (90 - 4a) = (a - 20) \\ \\ 90 + 20 = a - 4a \\ \\ 5a = 110 \\ \\ a = \frac{110}{5} \\ \\ a = 22 \: answer$

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