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3 years ago

Simplify cos5cos40-sin5cos40

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

galben [10]3 years ago

3 0

Answer:

cos(5)cos(40) - sin(5)cos(40) = cos(45) = √(2)/2

Step-by-step explanation:

One of the trig identity (Angle Sum/Difference Identity) is:

cos(α + β) = cos(α) cos(β) – sin(α) sin(β)

We're given: cos(5)cos(40) - sin(5)cos(40)

In this case, α=5 and β=40

Plug it into you're equation

cos(α + β) = cos(α) cos(β) – sin(α) sin(β)

cos(5 + 40) = cos(5)cos(40) - sin(5)cos(40)

cos(5 + 40) = cos(45) = √(2)/2

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marusya05 [52]

Answer:

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Step-by-step explanation:

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Volgvan

Answer:

Step-by-step explanation:

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Let's see if that is right.

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