1.

If \[\tan \theta +\sec \theta ={{e}^{x}},\]then \[\cos \theta \] equals [AMU 2002]

A. \[\frac{({{e}^{x}}+{{e}^{-x}})}{2}\]
B. \[\frac{2}{({{e}^{x}}+{{e}^{-x}})}\]
C. \[\frac{({{e}^{x}}-{{e}^{-x}})}{2}\]
D. \[\frac{({{e}^{x}}-{{e}^{-x}})}{({{e}^{x}}+{{e}^{-x}})}\]
Answer» C. \[\frac{({{e}^{x}}-{{e}^{-x}})}{2}\]


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