a. Sin 15° cos 15°
sin a cos a = 1/2 ( sin (a+a) + sin (a-a) )
sin 15° cos 15° = 1/2 ( sin 30° + sin 0° )
sin 15° cos 15° = 1/2 ( 1/2 + 0 )
Sin 15° cos 15° = 1/4
b. Cos π/12 - cos5π/12
cos π/12 - cos 5π/12 = -2 sin 45° sin 30°
= -2 1/2√2 • 1/2
= -√2/2
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a. Sin 15° cos 15°
sin a cos a = 1/2 ( sin (a+a) + sin (a-a) )
sin 15° cos 15° = 1/2 ( sin 30° + sin 0° )
sin 15° cos 15° = 1/2 ( 1/2 + 0 )
Sin 15° cos 15° = 1/4
b. Cos π/12 - cos5π/12
cos π/12 - cos 5π/12 = -2 sin 45° sin 30°
= -2 1/2√2 • 1/2
= -√2/2