问题 解答题
α=
π
4
,计算:
(1)sin(-α-5π)•cos(α-
π
2
)

(2)
sinα-cosα
tanα-1
答案

(1)sin(-α-5π)•cos(α-

π
2
)=sin2α=(
2
2
)2
=
1
2

(2)

sinα-cosα
tanα-1
=
sinα-cosα
sinα-cosα
•cosα
=cosα=cos
π
4
=
2
2

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