evaluate tan^4+tan^2=sec64-sec^2
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Answer:
Verify
sec
4
x
−
sec
2
x
=
tan
4
x
+
tan
2
x
Explanation:
Left side
→
sec
4
x
−
sec
2
x
=
1
cos
4
x
−
1
cos
2
x
=
1
−
cos
2
x
cos
4
x
=
sin
2
x
cos
4
x
=
tan
2
x
(
1
cos
2
x
)
Apply the trig identity:
1
cos
2
x
=
(
1
+
tan
2
x
)
, we get:
Left side
→
tan
2
x
(
1
+
tan
2
x
)
=
tan
4
x
+
tan
2
x
.
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