| Trigonometric Ratio | Abbreviation | Definition | Reciprocal Ratio | Reciprocal Abbreviation |
|---|---|---|---|---|
| Sine | sin(θ) | Opposite/Hypotenuse | Cosecant | csc(θ) = 1/sin(θ) |
| Cosine | cos(θ) | Adjacent/Hypotenuse | Secant | sec(θ) = 1/cos(θ) |
| Tangent | tan(θ) | Opposite/Adjacent | Cotangent | cot(θ) = 1/tan(θ) |
| Cosecant | csc(θ) | 1/sin(θ) | Sine | sin(θ) = 1/csc(θ) |
| Secant | sec(θ) | 1/cos(θ) | Cosine | cos(θ) = 1/sec(θ) |
| Cotangent | cot(θ) | 1/tan(θ) | Tangent | tan(θ) = 1/cot(θ) |
- Pythagorean Identity:
- sin²(θ) + cos²(θ) = 1
- sec²(θ) - tan²(θ) = 1
- csc²(θ) - cot²(θ) = 1
- Reciprocal Identities:
- sin(θ) = 1/csc(θ)
- cos(θ) = 1/sec(θ)
- tan(θ) = 1/cot(θ)
- Quotient Identities:
- tan(θ) = sin(θ) / cos(θ)
- cot(θ) = cos(θ) / sin(θ)
- Even-Odd Identities:
- sin(-θ) = -sin(θ)
- cos(-θ) = cos(θ)
- tan(-θ) = -tan(θ)
- Cofunction Identities:
- sin(90° - θ) = cos(θ)
- cos(90° - θ) = sin(θ)
- tan(90° - θ) = 1/tan(θ)
Last Updated : 27 February, 2024
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Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.
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