Find the missing piece to make this equal on both sides

sin pi/4 sin pi/6 = 1/2 (cos pi/12 - _?__ 5pi/12)

Question

Mathematics

Rubi

25 December, 22:11

Find the missing piece to make this equal on both sides

sin pi/4 sin pi/6 = 1/2 (cos pi/12 - _?__ 5pi/12)

+1

Answers (1)

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Orozco · Answer 1

The rule to solve this problem:

sin x sin y = 0.5 [ cos (x-y) - cos (x+y) ]

∴ If x = π/4 and y = π/6

x-y = π/12 and x+y = 5π/12

∴ sin (π/4) sin (π/6) = 0.5 [ cos (π/12) - cos (5π/12) ]

Find the missing piece to make this equal on both sidessin pi/4 sin pi/6 = 1/2 (cos pi/12 - _?__ 5pi/12)

Find the missing piece to make this equal on both sides

sin pi/4 sin pi/6 = 1/2 (cos pi/12 - _?__ 5pi/12)