Prove the following trigonometric identity:
sec^4θ - 1 = 2 tan^2θ + tan^4θ
Answers
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Step-by-step explanation:
Use the identity:
1
+
tan
2
θ
=
sec
2
θ
sec
4
θ
−
tan
4
θ
=
(
sec
2
θ
−
tan
2
θ
)
(
sec
2
θ
+
tan
2
θ
)
=
1
(
sec
2
θ
+
tan
2
θ
)
=
sec
2
θ
+
tan
2
θ
=
1
+
tan
2
θ
+
tan
2
θ
=
1
+
2
tan
2
θ
∴
=
Right Hand Side
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