Quickly determine the cosine of an angle (cos α) when you know its tangent half-angle (tan α/2). This essential trigonometry tool simplifies complex calculations, making it perfect for students, engineers, and mathematicians alike. Get accurate results instantly for your trigonometric problems.
Formula:
The relationship between the cosine of an angle (α) and its tangent half-angle (α/2) is given by the formula:cos(α) = (1 - tan²(α/2)) / (1 + tan²(α/2))
Where:
αrepresents the angle.tan(α/2)is the tangent of half of the angle.