Question

If sec 4a=cosec(a-20),where 4a is an acute angel, find the value of a. Solve it

Answer 1

Answer:

The ans of ur question is 20...The value of a turn out to be 22

Step-by-step explanation:

given...

sec(4a)=cosec(a-20)

proof...

cosec A=sec(90-a)

so from the question we get

sec4a=cosec(a-20)

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

cosec get cut....

110=5a

a=22

answer..

A=22

Answer 2

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