Question

Using the half angle formulas, find the exact value of (i) sin 15° (ii) sin 292​

Answer 1

Answer:

 sin(15°)=0.258

Step-by-step explanation:

Using the Half Angle Formula:

sin2(x)=12[1−cos(2x)]

with x=15° and 2x=30°

you get:

sin2(15°)=12[1−cos(30°)]

knowing that: cos(30°)=√32:

sin2(15°)=12[1−√32]

sin2(15°)=2−√34=0.067

So:

sin(15°)=±√0.067=±0.258

We choose the positive one