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Ann [662]
3 years ago
10

Given that cos(30°) = cos(45°)cos(15°) + sin(45°)sin(15°), it follows that cos(30°) =

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

cos(30\°) = cos(45\°-15\°)

Step-by-step explanation:

To solve this problem you must know the formula of subtraction of angles for the function cosx.

The formula is:

cos(h-d) = cos(h)cos(d) + sin(h)sin(d)

We can write 30° as: 45° - 15°

Then:

cos(30\°) = cos(45\°-15\°)

Using the formula for subtraction of angles we have:

cos(45\°-15\°) = cos(45\°)cos(15\°) + sin(45\°)sin(15\°)

Notice that we have achieved the expression shown in the statement

Finally:

cos(30\°) = cos(45\°-15\°)

marin [14]3 years ago
6 0

Answer:

square root 3/2

Step-by-step explanation:

on usatestprep and the unit circle

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