Consider the following :

1. \(\sqrt {{{\sec }^2}{\rm{\theta }}\,{\rm{ + }}\,{\rm{cose}}{{\rm{c}}^2}{\rm{\theta }}} \, = \,\tan {\rm{\theta }} + \cot {\rm{\theta }}\) where 0 < θ < 90°

2. \(\sqrt {{{\tan }^2}{\rm{\theta }}\,{\rm{ + }}\,{\rm{co}}{{\rm{t}}^2}{\rm{\theta }}\,{\rm{ + }}\,{\rm{4}}} \, = \,\sec {\rm{\theta }} + {\rm{cosec}}\,{\rm{\theta }}\) where 0 < θ < 90°

Which of the above is/are an identity/identities?

1
1 only
2
2 only
3
Both 1 and 2
4
neither 1 nor 2

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