What us the value of sin theta * cos theta?
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Let f(θ)=sinθ+cosθ , and although unimportant, let Dom(f)=[−π,π] .
Now,
f(θ)=2–√(12√sinθ+12√cosθ)=2–√(cosπ4sinθ+sinπ4cosθ)=2–√sin(θ+π4)
f(θ) is minimum when sin is minimum. The minimum value of sin is -1 which occurs at −π2 . Therefore, θ+π4=−π2 , giving θ=−3π4 and the minimum value is −2–√ .
Step-by-step explanation:
Hope it helps
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thanks agnideep it is the best and correct answer
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