Given that α is in quadrant 1 and tan(α)=2/5, and also given that β is in quadrant 2 and sin(β)=2/9, give an exact answer for the following: sin(α−β)=? cos(α−β)=? tan(α−β)=?

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A: We have cosα = 79  sinα&lt;0 To evaluate : The exact value of cotα

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…