engineering recuitment ICAR (IARI) Assistant (Pre + Mains) 2022 Mock Test Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities
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