证明tan²α-sin²α=tan²αsin²α
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 21:16:04
![证明tan²α-sin²α=tan²αsin²α](/uploads/image/z/4021858-10-8.jpg?t=%E8%AF%81%E6%98%8Etan%26%23178%3B%CE%B1%EF%BC%8Dsin%26%23178%3B%CE%B1%3Dtan%26%23178%3B%CE%B1sin%26%23178%3B%CE%B1)
证明tan²α-sin²α=tan²αsin²α
证明tan²α-sin²α=tan²αsin²α
证明tan²α-sin²α=tan²αsin²α
tan²α=sin²α/cos²α
∴sin²α=tan²αcos²α
证明:左边=tan²α-tan²αcos²α
=tan²α(1-cos²α)
=tan²αsin²α=右边