We have, sinθ+cosθ=1
Multiplying both sides by
2
1
, we get
sinθ+
cosθ=
⟹sinθcos
4
π
+cosθsin
=sin
⟹sin(θ+
)=sin
General solution:
⟹θ+
=nπ+(−1)
n
⟹θ=nπ+(−1)
−
⟹θ=nπ+{(−1)
−1}
,n=0,±1,±2
me 9th class me padha ti hun dear and your intro
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Answers & Comments
We have, sinθ+cosθ=1
Multiplying both sides by
2
1
, we get
2
1
sinθ+
2
1
cosθ=
2
1
⟹sinθcos
4
π
+cosθsin
4
π
=sin
4
π
⟹sin(θ+
4
π
)=sin
4
π
General solution:
⟹θ+
4
π
=nπ+(−1)
n
4
π
⟹θ=nπ+(−1)
n
4
π
−
4
π
⟹θ=nπ+{(−1)
n
−1}
4
π
,n=0,±1,±2
me 9th class me padha ti hun dear and your intro