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Mathematics
Mathematics
Problem
For
x
x
x
such that
cos
x
≠
0
\cos x\ne 0
cos
x
=
0
, the identity
1
+
tan
2
x
=
sec
2
x
1+\tan^{2}x=\sec^{2}x
1
+
tan
2
x
=
sec
2
x
is obtained by a) dividing
sin
2
x
+
cos
2
x
=
1
\sin^{2}x+\cos^{2}x = 1
sin
2
x
+
cos
2
x
=
1
by
sin
2
x
\sin^{2}x
sin
2
x
b) multiplying
sin
2
x
+
cos
2
x
=
1
\sin^{2}x+\cos^{2}x = 1
sin
2
x
+
cos
2
x
=
1
by
cos
2
x
\cos^{2}x
cos
2
x
c) dividing
sin
2
x
+
cos
2
x
=
1
\sin^{2}x+\cos^{2}x = 1
sin
2
x
+
cos
2
x
=
1
by
cos
2
x
\cos^{2}x
cos
2
x
d) dividing
sin
2
x
+
cos
2
x
=
1
\sin^{2}x+\cos^{2}x = 1
sin
2
x
+
cos
2
x
=
1
by
sin
x
cos
x
\sin x\cos x
sin
x
cos
x
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