sin/tan = ?
tan = sin/cos
so
sin * cos/sin = cos
To find the value of sin/tan, we need to recall the definitions of the trigonometric functions.
- The sine function (sin) is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
- The tangent function (tan) is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right triangle.
So, sin/tan can be rewritten as (sin)/(sin/cos) since tan is equal to sin/cos.
Now, by simplifying (sin)/(sin/cos), we can cancel out sin from the numerator and denominator:
(sin)/(sin/cos) = sin * (cos/sin) = cos.
Therefore, sin/tan is equal to cos.