Question

sinA+cosA=rootsin(90-A
) then prove that cotA=root2+1 or tanA=root2-1

Answer 1

sinA+cosA =√2 sinA(90-A). .......【given】
=cosA+sinA=√2cosA
=sinA=√2cosA-cosA
=sinA=(√2-1)cosA
=sinA/cosaA=√2-1
=tanA=√2-1
hence, proved



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