Find the exact value using a sum or difference identity of cos 105°

Step-by-step explanation:

We can easily determine the exact value of this unknown angle by breaking it into known angles that can add together to give up 105. For example, 105 degrees is 60 + 45, both of which are found on the unit circle. We ill also use the trig identity for the sum of the cos of 2 angles which is:

These values are found on the units circle, so make sure you have one handy. Those values fill in as follows:

which simplifies to

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step-by-step explanation:

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