If sin A + cos A = V2, then evaluate: tan A + cot A.
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It is simple,
SinA=opposite/hypotenuse.
=>A=opp, 1= hypo.
=>by Pythagorean’s law;
=>adjacent = _/1-A^2(root of 1 minus A square).
=>tanA=opp/adj: A/_/1-A^2
=>cotA=adj/opp,
=>tanA + cotA=(A/_/1-A^2)+(_/1-A^2/A)
SinA=opposite/hypotenuse.
=>A=opp, 1= hypo.
=>by Pythagorean’s law;
=>adjacent = _/1-A^2(root of 1 minus A square).
=>tanA=opp/adj: A/_/1-A^2
=>cotA=adj/opp,
=>tanA + cotA=(A/_/1-A^2)+(_/1-A^2/A)
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