Question

if cosecant of a minus b equal to 2 and cot of a + b equal to 1 by root 3 and 0 less than a + b less than or equal to 90 and a greater than B then find a and b​

Answer 1

Hey there, here's your answer.

0<a+b<90

From this statement, we can infer that the two angles we need to find are both acute.

cosec (a-b) = 2

sin (a-b) = ½

sin (a-b) = sin 30

a-b = 30

cot (a+b) = 1/root 3

tan (a+b) = root 3

tan (a+b) = tan 60

a+b = 60

a+b = 60

a-b = 30

Solving this system of equations, we get

a = 45°

b = 15°