1. упростить(( sin a : 1+cos a)^2 +1) : 1+cos a: sin^22.вычислитьtg ^2 52,5 - tg^2 7/5 :1 -tg^2 7/5 * tg ^2 52,5
1. упростить(( sin a : 1+cos a)^2 +1) : 1+cos a: sin^22.вычислитьtg ^2 52,5 - tg^2 7/5 :1 -tg^2 7/5 * tg ^2 52,5
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((sin a : 1+cos a)^2 + 1) : (1+cos a)
Решение:= (sin^2 a : (1+cos a)^2 + 1) : (1+cos a)
= ((sin^2 a + 1 + 2sin a : 1+cos a) : (1+cos a)
= ((1+sin a)^2 : (1+cos a) : (1+cos a)
= (1+sin a)^2 : (1+cos a)^2
= 1+2sin a + sin^2 a : 1+2cos a + cos^2 a
= 1+2sin a + sin^2 a : 1+2cos a + cos^2 a
= 1+2sin a + sin^2 a : 1+2cos a + cos^2 a
tg^2(52.5) = tg^2(45 + 7.5) = tg^2(45)tg^2(7.5) = 1tg^2(7.5) = tg^2(7.5)
tg^2(7/5) = tg^2(1.4) = 1/cos^2(1.4) = 1/(cos^2(1.4)) = 1/(sin^2(88.6)) = 1/(1-cos^2(88.6)) = 1/(1-cos^2(88.6)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-sin^2(1.4)) = 1/(1-0.9135) = 1/0.0865 = 11.5471
Выражение станет:
tg^2(52.5) - tg^2(7/5) : (1 - tg^2(7/5) tg^2(52.5))
= tg^2(7.5) - 11.5471 : (1 - 11.5471 tg^2(52.5))
= tg^2(7.5) - 11.5471 : (1 - 11.5471 * tg^2(52.5))