If sinA+ sin^2A = 1, then
the value of the expression
(cos^2 A+ Cos^4 ) is
Answers
Answered by
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Step-by-step explanation:
Our starting goal is to turn all terms into cosine. Use the identity
sin
2
θ
+
cos
2
θ
=
1
.
sin
a
+
1
−
cos
2
a
=
1
sin
a
−
cos
2
a
=
0
sin
a
=
cos
2
a
Square both sides to get rid of the sine.
(
sin
a
)
2
=
(
cos
2
a
)
2
sin
2
a
=
cos
4
a
Reuse
sin
2
θ
+
cos
2
θ
=
1
:
1
−
cos
2
a
=
cos
4
a
1
=
cos
4
a
+
cos
2
a
Hopefully this helps!
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