Math, asked by rownakjahan891, 3 months ago

if sinA + CosA =√2 then,
tanA =?​

Answers

Answered by Anonymous
1

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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