Θ∈(π/2,3π/4) sin2Θ∈a sinΘ+cosΘ

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Θ∈(π/2,3π/4)sin2Θ∈asinΘ+cosΘΘ∈(π/2,3π/4)sin2Θ∈asinΘ+cosΘΘ∈(π/2,3π/4)sin2Θ∈asinΘ+cosΘ∵Θ∈(π/2,3π/2)∴si

Θ∈(π/2,3π/4) sin2Θ∈a sinΘ+cosΘ
Θ∈(π/2,3π/4) sin2Θ∈a sinΘ+cosΘ

Θ∈(π/2,3π/4) sin2Θ∈a sinΘ+cosΘ
∵ Θ∈(π/2,3π/2)
∴sinΘ=a<0 sinΘ>0 cosΘ<0 sinΘ>|cosΘ|
∵(sinΘ+cosΘ)^2=1+sin2Θ=a+1
∴sinΘ+cosΘ=∫(a+1)