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Natasha2012 [34]
3 years ago
8

Solve using the triangle sum therom

Mathematics
1 answer:
yan [13]3 years ago
8 0
X=24. 180-96=84; 3x+12=84. 3x=72; x=24
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Answer:

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Step-by-step explanation:

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

The formula is:

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We can write 30° as: 45° - 15°

Then:

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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\°)

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