Cosec A, sec A and cot A
Cosec A, sec A, and cot A are the reciprocal trigonometric ratios of sine, cosine, and tangent.
Practice This ConceptMain explanation
Teacher explanation
These ratios are useful because they flip the basic ratios. Cosec A is hypotenuse over opposite, sec A is hypotenuse over adjacent, and cot A is adjacent over opposite. In exams, students often lose marks by confusing these reciprocals with the basic ratios.
Example
If sin A = 3/5, then cosec A = 5/3. If cos A = 4/5, then sec A = 5/4. If tan A = 3/4, then cot A = 4/3.
Simple analogy
co-sec, se-c, and co-t all feel like the flip side of sine, cosine, and tangent.
Common confusion
Students sometimes write sec A as adjacent over hypotenuse, but that is cosine, not secant.
Exam tip
When you see cosec, sec, or cot, ask yourself which basic ratio must be flipped.
Answer writing and exam use
1-mark use
Write the exact meaning of cosec a, sec a and cot a in one clean line.
2-mark use
Define cosec a, sec a and cot a and add one example or condition.
3-mark use
Explain cosec a, sec a and cot a, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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