please show your work
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my calculator is not working right now
The cosine of the difference of two angles is:
cos(x-y) = cos(x)cos(y) + sin(x)sin(y)
That is the form of your expression. Therefore,
cos15°cos10°+sin15°sin10° = cos(15°-10°) = cos(5°)
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The cosine of the difference of two angles is:
cos(x-y) = cos(x)cos(y) + sin(x)sin(y)
That is the form of your expression. Therefore,
cos15°cos10°+sin15°sin10° = cos(15°-10°) = cos(5°)