annatoncheva11 annatoncheva11

04-05-2020
Mathematics

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Can anyone help me on this task sin75°.cos75°=

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Chelboy Chelboy

04-05-2020

Answer:0.25

Step-by-step explanation:

Sin75.cos75

From trigonometric identity we know that: sin2x=2sinxcosx

sinxcosx=(sin2x) ➗ 2

Sin75cos75=(sin(2x75)) ➗ 2

Sin75cos75=(sin150) ➗ 2 but sin150=0.5

Sin75cos75=0.5 ➗ 2

sin75cos75=0.25

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lucasella lucasella

04-05-2020

The answer is attached.

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