permaneceerc

2021-02-12

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

coffentw

Skilled2021-02-13Added 103 answers

The cosine of an angle is the ratio of the side length adjacent the angle to the hypotenuse in right triangle $(\mathrm{cos}=\frac{adj}{hyp})$ .

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.

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.

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