A geometry problem by abeel muhammad
Geometry
Level
1
sine and cosine functions are equal at ?
The answer is 45.
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In a right angle triangle, if sin and cos of an angle are equal, then base and perpendicular must be equal. Then the two angles of the triangle (excepting right angle) must be equal. As sum of 3 angles of any triangle is 180 degrees, and this triangle is aright angle, the sum of other two angles must be 180-90=90. Now two equal angles sum up to 90 degree, each angle must be 90/2=45 degrees.