Geometry and TrigonometryMediumTrig ratio of a 45° angle
Geometry and Trigonometry practice question
In an isosceles right triangle, what is the value of tan of either acute angle?
- A. 1Correct
- B. √2/2
- C. √2
- D. 1/2
Answer: A. 1
The two legs are equal, so opposite/adjacent = 1. (tan 45° = 1.)
Why the other answers are wrong
- B. √2/2
- √2/2 is sin 45° (or cos 45°).
- C. √2
- √2 is the hypotenuse-to-leg ratio, not a tangent.
- D. 1/2
- 1/2 is sin 30°, not any 45° ratio.
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