高一数学三角函数化简为题
问题描述:
高一数学三角函数化简为题
√[(sin^2 α)(1+cotα)+(cos^2 α)(1+tanα)]
答
√[(sin^2 α)(1+cotα)+(cos^2 α)(1+tanα)]
=√[(sin)^2+sinacosa+sinacosa+(cosa)^2]
=√(sina+cosa)^2
=|sina+cosa|