Math, asked by Sid1738, 1 year ago

Solve cos x + sin x = 2

Answers

Answered by kokan6515

cos x + sin x = 2
squaring both sides
(cos x + sin x) ² = (2)²
cos²x + sin²x+ 2sinx cosx = 4
we Know cos²x + sin²x = 1
and sin 2x= 2sinx cosx
put in above
we get
1 + Sin 2x = 4
Sin 2x =3
we know -1≤ Sin ø≤1
it can't have value greater than 1
so Sin 2x can't be equal to 3

x having ø values means no such solution exist.

Sid1738: Thank you very much bro! ✌ you don't know how much you just helped me

kokan6515: really?

Sid1738: Yes.

kokan6515: which class u r in?

Sid1738: Just moved to +1... I always have problems in such questions

kokan6515: ok

kokan6515: ask anytime

Sid1738: Appreciate it! Thank you✌

kokan6515: :-)

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