if sinA + CosA =√2 then,
tanA =?
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Answer:
tanA=1
Step-by-step explanation:
sinA + CosA =√2
dividing by cos A
sinA/cosA+1=√2/cosA
tanA+1=√2seA
1+tanA=√2(1+tan²A)
(1+tanA)²=2+2tan²A
1+tan²A+2tanA=2+2tan²
let tanA=x
so x²-2x+1=0
(x-1)²=0
x=1
Thus tanA=1
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