The correct option is (d) cotФ.
As, cosineФ/sineФ = cotФ.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.
The basic trigonometric identities are-
Solution for the given trigonometric function; (cosineФ/sineФ)
Use formula of tanФ
tanФ = sineФ/cosineФ
Also, from basic trigonometric ratios.
tanФ = 1/cotФ
Substitute sineФ/cosineФ to get the result
1/cotФ = sineФ/cosineФ
Further simplify,
cotФ = cosineФ/sineФ
Therefore, the value of cosineФ/sineФ = cotФ
To know more about Fundametal Trigonometric Identities, here
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Which of the following is a simpler way to write StartFraction cosine theta Over sine theta EndFraction-
(a) tanФ
(b) secФ
(c) cosecФ
(d) cotФ
