Which function is the reciprocal of tangent?

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Multiple Choice

Which function is the reciprocal of tangent?

Explanation:
In trigonometry, reciprocals come from flipping the ratio. Since tangent equals sine over cosine, its reciprocal is cosine over sine, which is cotangent. So tanθ times cotθ equals 1 wherever both are defined. The other functions don’t fit because sine’s reciprocal is cosecant, tangent is the original ratio, and cotangent is specifically cosine over sine.

In trigonometry, reciprocals come from flipping the ratio. Since tangent equals sine over cosine, its reciprocal is cosine over sine, which is cotangent. So tanθ times cotθ equals 1 wherever both are defined. The other functions don’t fit because sine’s reciprocal is cosecant, tangent is the original ratio, and cotangent is specifically cosine over sine.

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