Question

Explain trigonometric notation breifly .
No attachment or Copying pls.

Answer 1

Answer:

trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These six trigonometric functions in relation to a right triangle are displayed in the figure. For example, the triangle contains an angle A, and the ratio of the side opposite to A and the side opposite to the right angle (the hypotenuse) is called the sine of A, or sin A; the other trigonometry functions are defined similarly. These functions are properties of the angle A independent of the size of the triangle, and calculated values were tabulated for many angles before computers made trigonometry tables obsolete. Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures

Answer 2

Trigonometry is the branch of mathematics that deals with the relationships between the sides and the angles of triangles and the calculations based on them, particularly the trigonometric functions. It is the branch of mathematics concerned with specific functions of angles and their application to calculations. The trigonometric functions (also called circular functions, angle functions, or goniometric functions) are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

Sine

$sin \(\hspace\) \(\theta\)\ =$ $\frac{opposite}{hypotenuse}$

Cosine

$cos\(\hspace\) \(\theta\)\ =$ $\frac{adjacent}{hypotenuse}$

Tangent

$tan\(\hspace\) \(\theta\)\ =$ $\frac{opposite}{adjacent}$

Cotangent

$cot\(\hspace\) \(\theta\)\ =$ $\frac{adjacent}{opposite}$

Secant

$sec\(\hspace\) \(\theta\)\ =$  $\frac{hypotenuse}{adjacent}$

Cosecant

$csc\(\hspace\) \(\theta\)\ =$ $\frac{hypotenuse}{opposite}$

Basically,

• Sine and Cosecant are opposites
• Cosine and Secant are opposites
• Tangent and Cotangent are opposites