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valenok18XD
@valenok18XD
September 2021
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1) Упростить выражение [tex] cos^{2} 2 \alpha +4sin^{2} \alpha cos^{2} \alpha [/tex]
2) Упростить выражение [tex] \frac{1}{1+tg ^{2} \alpha } + \frac{1}{1+ctg^{2} \alpha } [/tex]
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IrkaShevko
Verified answer
1) cos²2a + sin²2a = 1
(2sinacosa = sin2a)
2) (1 + ctg²a + 1 + tga)/(1 + tg²a + ctg²a + 1²) = 1
tga * ctga = 1
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Answers & Comments
Verified answer
1) cos²2a + sin²2a = 1(2sinacosa = sin2a)
2) (1 + ctg²a + 1 + tga)/(1 + tg²a + ctg²a + 1²) = 1
tga * ctga = 1