【高一数学】三角函数的证明题》》》》》》》证明:(sin^4)x+(sin^2)x(cos^2)x+(cos^2)x=1
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![【高一数学】三角函数的证明题》》》》》》》证明:(sin^4)x+(sin^2)x(cos^2)x+(cos^2)x=1](/uploads/image/z/5311190-38-0.jpg?t=%E3%80%90%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%E3%80%91%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E7%9A%84%E8%AF%81%E6%98%8E%E9%A2%98%E3%80%8B%E3%80%8B%E3%80%8B%E3%80%8B%E3%80%8B%E3%80%8B%E3%80%8B%E8%AF%81%E6%98%8E%EF%BC%9A%28sin%5E4%29x%2B%28sin%5E2%29x%28cos%5E2%29x%2B%28cos%5E2%29x%3D1)
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【高一数学】三角函数的证明题》》》》》》》证明:(sin^4)x+(sin^2)x(cos^2)x+(cos^2)x=1
【高一数学】三角函数的证明题》》》》》》》
证明:
(sin^4)x+(sin^2)x(cos^2)x+(cos^2)x=1
【高一数学】三角函数的证明题》》》》》》》证明:(sin^4)x+(sin^2)x(cos^2)x+(cos^2)x=1
答:
左式=sin2x(sin2x+cos2x)+cos2x
=sin2x+cos2x
=1