sinx+cosx=sin2x-1
Find its general solution.
Answers
Answered by
2
Answer:
Hey mate here is ur answer
Step-by-step explanation:
Arc x = 0;
x
=
π
4
;
x
=
π
2
;
x
=
π
Explanation:
1 - sin 2x = cos x - sin x
Square both sides:
(
1
−
sin
2
x
)
2
=
(
cos
x
−
sin
x
)
2
1
−
2
sin
2
x
+
sin
2
2
x
=
cos
2
x
+
sin
2
x
−
2
sin
x
.
cos
x
1
−
2
sin
2
x
+
sin
2
2
x
=
1
−
sin
2
x
sin
2
2
x
−
sin
2
x
=
0
sin 2x (sin 2x - 1) = 0
a. sin 2x = 0
sin 2x= 0 --> 2x = 0 --> x = 0
sin 2x = 0 -->
2
x
=
π
-->
x
=
π
2
sin 2x = 0 -->
2
x
=
2
π
-->
x
=
π
b. sin 2x = 1 -->
2
x
=
π
2
-->
x
=
π
4
Please mark me as branliest ❣️
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