Question

if theta is an acute angle and sin theta +1 / sin theta -1 = √3+2/√3-2
find theta​

Answer 1

Answer:

60°

Step-by-step explanation:

i am using A in place of theta

given

(sinA+1)/(sinA-1) = (√3+2)/(√3-2)

using componendo and dividendo we have

(sinA+1+sinA-1)/(sinA+1-sinA+1) = (√3+2+√3-2)/(√3+2-√3+2)

2sinA/2 = 2√3/4

sinA = √3/2 = sin60°

hence A or theta = 60° (being acute angle)