Упростите: sin 87° - sin 93° - sin 59° + sin 61°. Created by TolAlina. algebra-ru

Упростите: sin 87° - sin 93°

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November 2021 1 12 Report

Упростите: sin 87° - sin 93° - sin 59° + sin 61°

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Sin87 - Sin93 - Sin59 + Sin61 = Sin(90 - 3) - Sin (90 + 3) - Sin59 + Sin61=
= Cos3 - Cos3 - (Sin59 - Sin 61) = - (Sin59 - Sin61)= - $2Sin \frac{59-61}{2} Cos \frac{59+61}{2}= 2Sin 1*Cos60=2Sin1* \frac{1}{2} =Sin1$

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