Question

if sec 5a=cosec (a+36°)and 5a is a positive acute angle;let you find the value of a thita

Answer 1

sec (5a) = cosec (a+36)

Now,
sec (theta) = cosec (90-theta)

So,
cosec (90-5a) = cosec (a+36)
90-5a = a+36
6a = 54°

Therefore,
a = 9°

Hope this helps you !!