75degree

75degree is a term that designates the angle measurement of 75 degrees. It corresponds to 75° and, in radians, equals 5π/12. The angle is acute and lies in the first quadrant of the unit circle.

In trigonometry, the exact values for 75° are commonly recalled as sin 75° = (√6 + √2)/4, cos 75° = (√6 − √2)/4, and tan 75° = 2 + √3. These values can be derived using angle addition formulas, for example sin(75°) = sin(45° + 30°) and cos(75°) = cos(45° + 30°).

Geometrically, 75degrees is complementary to 15degrees (75° + 15° = 90°) and supplementary to 105degrees (75° + 105° = 180°). The angle often appears in problems involving angle subtraction or addition, and it can arise in constructions that use 15° or 30° divisions, such as certain polygonal or rotational configurations.

Besides its mathematical meaning, 75degree is also used as a brand name or identifier in various design, fashion, and technology contexts. Because it is not tied to a single specific entity, its meaning is determined by the surrounding context. If a particular 75degree is intended, additional information is needed to identify the associated organization or product.