What is the reciprocal of cosecant?
Understand the Problem
The question is asking for the reciprocal of the cosecant function in trigonometry. The cosecant is defined as the reciprocal of the sine function, so this is a straightforward inquiry into trigonometric identities.
Answer
Sine
The reciprocal of cosecant is sine.
Answer for screen readers
The reciprocal of cosecant is sine.
More Information
In trigonometry, the reciprocal of cosecant (csc) is the sine function (sin). This means that csc(x) = 1/sin(x) and thus sin(x) = 1/csc(x).
Tips
A common mistake is to confuse the reciprocal relations of different trigonometric functions. Remember: The reciprocal of sine is cosecant, of cosine is secant, and of tangent is cotangent.
Sources
- Reciprocal Identities - Formulas, Proof, Examples - Cuemath - cuemath.com
- Reciprocal trig ratios (article) | Khan Academy - khanacademy.org
- Reciprocal Identities | CK-12 Foundation - flexbooks.ck12.org
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