已知锐角α,β满足sinα=根号5⼀5,cosβ=3根号10⼀10,求α+β的值

2025-03-24 08:56:16
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∴a+β=π/4 or π+π/4∵sina = √5/5 cos β=3√10/10 ∴cos a= 2√5/5 sinβ=√10/10 ∴sin(a+β)= sinacosβ+cosasinβ=√2/2已知锐角α,β∴a+β=π/4 or π+π/4