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If sin x +cos x =√2 sin(90 - x) then find the value of cot x . |
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Answer» ong>Answer: NOTE I HAVE TAKEN X AS A. Step-by-step explanation: Given SINA+cosA= sin(90−A) ⇒ 2
1 sinA+ 2
1 cosA=sin(90−A) ⇒sinA.cos45 ∘ +cosA+sin45 ∘ =sin(90−A) ⇒(A+45 ∘ )=sin(90 ∘ −A) Equating A+45=90−A ⇒2A=45 ∘
⇒A=22 2 1
∘
A= 8 π
∴cotA=cot 8 π = 2 +1 |
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