Question
Simplify sinx/tanx
Answers
GPT 3.5
To simplify sin(x)/tan(x), we can use the trigonometric identity tan(x) = sin(x)/cos(x).
So, sin(x)/tan(x) can be rewritten as sin(x)/(sin(x)/cos(x)).
Next, we can multiply the numerator and denominator by the reciprocal of the fraction in the denominator:
sin(x) * (cos(x)/sin(x)) = cos(x).
Therefore, sin(x)/tan(x) simplifies to cos(x).
So, sin(x)/tan(x) can be rewritten as sin(x)/(sin(x)/cos(x)).
Next, we can multiply the numerator and denominator by the reciprocal of the fraction in the denominator:
sin(x) * (cos(x)/sin(x)) = cos(x).
Therefore, sin(x)/tan(x) simplifies to cos(x).