Question

Given that
sin (A-B) = sin A cos B - Cos A sin B.
Find the value of sin 15° in two
(1) taking A = 60°, B = 45° and
(2) taking A = 45°, B = 30°​

Answer 1

Answer:

(1) is (√3-1)/2√2. (2) is (√3-1)/2√2

Step-by-step explanation:

(1) sin(60-45)= sin60 cos45 - cos60 sin 45

= (√3/2)(1/√2) - (1/2)(1/√2)

=(√3-1)/2√2

(2) sin(45-30)= sin45 cos30 - cos45 sin 30

=(√3/2)(1/√2) - (1/2)(1/√2)

=(√3-1)/2√2

Answer 2

Answer:

sin(60-45)=sin60*cos45-cos60*sin45

√3/2*1√2-1/2*1√2=(√3-1)/2√2