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Vispirms aplkosim piemru ( sin + cos )2 - sin2 = 1 pacelsim iekavu kvadrt, izmantojot formulu (a + b )2 = a2 + 2ab

Vispirms aplkosim piemru ( sin + cos )2 - sin2 = 1 pacelsim iekavu kvadrt, izmantojot formulu (a + b )2 = a2 + 2ab + b2 sin2 + 2sincos + cos2 - 2sincos = 1, sin2 tika prveidots saska ar divkr argumenta formulu, pc sasinanas iegstam sin2 + cos2 = 1 vai saska ar trigonom. pamatidentitti 1 = 1, kas bija jpierda. Tagad pierdiet identittes patstvgi. (2 p.) 1 - ( sin - cos )2 = sin2 (2 p.) cos2 = 2cos2 - 1 (4 p.) sin( - ) + sin( + ) - cos(3/2 + ) + sin = 0 (4 p.) sin - cos = 2cos(/4 - )

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