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Geometry and TrigonometryMediumExact value of cos 45°

Geometry and Trigonometry practice question

What is the value of cos 45°?

  1. A. √2/2Correct
  2. B. 1/2
  3. C. √3/2
  4. D. 1

Answer: A. √2/2

In an isosceles right triangle with legs 1, the hypotenuse is √2, so cos 45° = 1/√2 = √2/2.

Why the other answers are wrong

B. 1/2
1/2 is cos 60°.
C. √3/2
√3/2 is cos 30°.
D. 1
1 is cos 0°.

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