Trigonometric Function Formulas

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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