Question

find the values of sin(15°) using compound angles​

Answer 1

Step-by-step explanation:

sin(45-30)=sin45*cos30-cos45*sin30

sin15=1/√2*√3/2-1/√2*1/2

=√3/2√2-1/2√2

=√3-1/2√2

sin15=0.518

mark as brainliest if I deserve it

Answer 2

Answer:

sin(15°) = sin (45°- 30°)

∴ Sin (A - B) = SinA · cosB - cosA · SinB

Sin (45°- 30°) = Sin45° · cos30° - cos45° . Sin30°

                      = 1/√2 . √3/2 - 1/√2 . 1/2

                      = √3/2√2 - 1/2√2

                      = √3-1/2√2

∴Sin (15°) = √3-1/2√2