\sin 45^\circ = \cos 45^\circ = \frac{\sqrt{2}}{2}
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- Final answer: $ \boxed{-1} $
- The tangent of $ 45^\circ $ is defined as the ratio of sine to cosine at that angle:
- \tan 45^\circ = \frac{\sin 45^\circ}{\cos 45^\circ}
- Final answer: $ \boxed{1} $
- Question: The hypotenuse of a right triangle is $ h $, and the radius of the inscribed circle is $ r $. What is the ratio of the area of the circle to the area of the triangle?
- The area of a right triangle with inradius $ r $ and hypotenuse $ h $ is given by:
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