question_answer

If \[{{\theta }_{1}}\] and \[{{\theta }_{2}}\] be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip \[\theta \] is given by                                                   [NEET-2017]

A)  \[{{\tan }^{2}}\theta ={{\tan }^{2}}{{\theta }_{1}}-{{\tan }^{2}}{{\theta }_{2}}\]

B)  \[{{\cot }^{2}}\theta ={{\cot }^{2}}{{\theta }_{1}}+{{\cot }^{2}}{{\theta }_{2}}\]

C)  \[{{\tan }^{2}}\theta ={{\tan }^{2}}{{\theta }_{1}}+{{\tan }^{2}}{{\theta }_{2}}\]

D)  \[{{\cot }^{2}}\theta ={{\cot }^{2}}{{\theta }_{1}}-{{\cot }^{2}}{{\theta }_{2}}\]