Question

Sin75°+sin 15°/sin75°-sin15°=√3

Answer 1

Step-by-step explanation:

Formula,

sinA + sinB = 2sin(A+B/2)cos(A-B/2)

sinA - sinB = 2cos(A+B/2)sin(A-B/2)

sin75 + sin15 = 2sin(45)cos(30) = root3 / root2

sin75 - sin15 = 2cos(45)sin(30) = 1 / root 2

Therefore,

LHS = (root3/root2) / (1/root2)

= root3 = RHS

Hence, proved