Sin A + cos A=root2
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Step-by-step explanation
SinA + CosA = √2 {Squaring on both sides}
(SinA + CosA)² = [√2]²
Sin²A + Cos²A + 2SinACosA = 2 (Sin²A + Cos²A = 1)
1 + 2SinACosA = 2
2SinACosA = 2-1
SinACosA = 1/2
# Take, TanA + CotA
SinA/CosA + CosA/SinA
Sin²A + Cos²A/ SinACosA
1/SinACosA (SinACosA = 1/2)
1/ 1/2
1× 2
2
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