Question

It sec4o= cosec (0-20), where 40 is a acule angle
find the value of o.​

Answer 1

Answer:

$sec4x = cosec(x - 20) \\ cosec(90 - 4x) = cosec(x - 20) \\ 90 - 4x = x - 20 \\ 5x = 110 \\ x = 22$

Answer 2

Step-by-step explanation:

$\bf \underline{Answer:-}$

$sec \: 4 \theta \: = cosec \: ( \theta \: - 20)$

wkt,

$sec \: \theta \: = cosec \: (90 - \theta)$

now,

$cosec \: (90 - 4 \theta) = cosec( \theta - 20)$

$90 - 4 \theta = \theta - 20$

$5\theta = 110$

$\theta = \frac{110}{5}$

$\theta = 22$