You know that we have
- Hypotenuse – the longest side
- Base – third side
- Perpendicular – the other side opp to the angle in a right triangle
Similarly, the six trigonometric functions are:
- Sine
- Cosine
- Secant
- Cosecant
- Tangent
- Cotangent
Now let’s study the basic trigonometry formulas.
The Trigonometric properties/Formulas are given below:
|
Property |
Identity / Property |
Mathematical value |
|
Sin a |
\(\begin{array}{l}\frac{opposite}{hypotenuse}\end{array} \)
|
|
|
Cos a |
\(\begin{array}{l}\frac{adjacent}{hypotenuse}\end{array} \)
|
|
|
Tan a |
\(\begin{array}{l}\frac{opposite}{adjacent}\end{array} \)
|
\(\begin{array}{l}\frac{sina}{cos a }\end{array} \)
|
|
Sec a |
\(\begin{array}{l}\frac{hypotenuse}{adjacent}\end{array} \)
|
\(\begin{array}{l}\frac{1}{cosa}\end{array} \)
|
|
Cosec a |
\(\begin{array}{l}\frac{hypotenuse}{opposite}\end{array} \)
|
\(\begin{array}{l}\frac{1}{sina}\end{array} \)
|
|
Cot a |
\(\begin{array}{l}\frac{adjacent}{opposite}\end{array} \)
|
\(\begin{array}{l}\frac{cos a }{sin a } = \frac{1}{tan a}\end{array} \)
|
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