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Mathematics
Mathematics
Problem
Which of the following identities is always true for every admissible value of
θ
\theta
θ
? a)
tan
2
θ
+
1
=
csc
2
θ
\tan^{2}\theta+1=\csc^{2}\theta
tan
2
θ
+
1
=
csc
2
θ
b)
sin
2
θ
+
cos
2
θ
=
sec
θ
\sin^{2}\theta+\cos^{2}\theta=\sec\theta
sin
2
θ
+
cos
2
θ
=
sec
θ
c)
cos
θ
sec
θ
=
1
\cos\theta\,\sec\theta=1
cos
θ
sec
θ
=
1
d)
1
+
cot
2
θ
=
sec
2
θ
1+\cot^{2}\theta=\sec^{2}\theta
1
+
cot
2
θ
=
sec
2
θ
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