Question

what is trigonometry ? and how to calculate trigonometry ?
with explanation and example​

Answer 1

Answer:

Step-by-step explanation:

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world

Example: How Tall is The Tree?

We can't reach the top of the tree, so we walk away and measure an angle (using a protractor) and distance (using a laser):

We know the Hypotenuse

And we want to know the Opposite

Sine is the ratio of Opposite / Hypotenuse:

sin(45°) =  OppositeHypotenuse

calculator-sin-cos-tan

Get a calculator, type in "45", then the "sin" key:

sin(45°) = 0.7071...

 

What does the 0.7071... mean? It is the ratio of the side lengths, so the Opposite is about 0.7071 times as long as the Hypotenuse.

 

We can now put 0.7071... in place of sin(45°):

0.7071... =  OppositeHypotenuse

And we also know the hypotenuse is 20:

0.7071... =  Opposite20  

To solve, first multiply both sides by 20:

20 × 0.7071... = Opposite

Finally:

Opposite = 14.14m (to 2 decimals)

Answer 2

Answer:

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.