Question

If tanθ = 1 then ( sinθ+cosθ)² = _____________ . 
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Answer 1

$\huge{\mathfrak{\purple{Question}}}$

If tanθ = 1 then ( sinθ+cosθ)² =

$\huge{\mathfrak{\purple{Answer}}}$

tanθ =1 = x/x

θ=45°

By Pythagoras theorem, hypotenuse = √2

∴sinθ×cosθ= 1/√2 × 1/√2 = 1/2

$\huge{\mathfrak{\purple{Explanation}}}$

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Answer 2

Question

If tanθ = 1 then ( sinθ+cosθ)² =

Answer

tanθ =1 = x/x

θ=45°

By Pythagoras theorem, hypotenuse = √2

∴sinθ×cosθ= 1/√2 × 1/√2 = 1/2

}Explanation