# For an acute angle A , can cos A be larger than 1? Explain the answer.

For an acute angle A , can cos A be larger than 1? Explain the answer.
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coffentw
The cosine of an angle is the ratio of the side length adjacent the angle to the hypotenuse in right triangle $\left(\mathrm{cos}=\frac{adj}{hyp}\right)$.
Since the hypotenuse is the longest side of a right triangle, the hyp>adj, which means than the cosine ratio is always less then 1.
Hence, cos A cannot be larger than 1.