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Mathematics 5 Online
OpenStudy (sunshinehaggard):

What is the exact value of cos 105°?

OpenStudy (sunshinehaggard):

@kayders1997

Directrix (directrix):

A calculator will not give the exact value.

Directrix (directrix):

Use the cosine of a sum formla: cos(A+B) = cos A cos B − sin A sin B

Directrix (directrix):

Let A = 60 and B = 45. Angles A and B sum to 105.

OpenStudy (anonymous):

I got 1/4 and something BFF else

Directrix (directrix):

Please post work.

OpenStudy (aveline):

Make A 60 degrees, and B 45 degrees (0.5)(√2/2)-(√3/2)(√2/2) I got (√2 - √6)4

OpenStudy (anonymous):

That's exactly what I got

OpenStudy (aveline):

Sorry, forgot division sign (√2 - √6)/4

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