Question

tan 60° kaa maan gyaat kro ... jaldi jaldi​

Answer 1

Answer:

Step-by-step explanation:

Tan 60 Degrees Value

In a right-angled triangle, the side opposite the right angle is called the hypotenuse side, the side opposite the angle of interest is called the opposite side and the remaining side is called the adjacent side where it forms a side of both the angle of interest and the right angle.

The tan function of an angle is equal to the length of the opposite side divided by the length of the adjacent side.

Tan θ = opposite side/ Adjacent Side

In terms of sine and cosine function, the tangent function is represented by

Tan θ = sin θ / Cos θ

Derivation to Find the Value of Tan 60 Degrees

Tan 60 Degrees Value and Derivation

Tan 60 Degrees Value and Derivation

To find the value of tan 60 degrees geometrically, consider an equilateral triangle ABC since each of an angle in an equilateral triangle is 600.

Therefore, ∠A = ∠B = ∠C = 60°

Draw a perpendicular line AD from A to BC.

Now consider the triangle, ABD and ADC,

We have, ∠ ADB = ∠ADC= 90° and

∠ ABD = ∠ACD= 60°

Therefore, AD=AD

According to AAS Congruency,

Δ ABD ≅ Δ ACD

From this, we can say

BD = DC

Let us take, AB = BC =2a

Then, BD= ½ (BC) =½ (2a) =a

By using Pythagoras theorem,

{AB}^2 = {AD}^2- {BD}^2

{AD}^2= {AB}^2 - {BD}^2

{AD}^2 = {(2a)}^2 - {a}^2

{AD}^2 = {4a}^2 - {a}^2

{AD}^2 = {3a}^2

Therefore, AD=a√3

Now in triangle ADB,

Tan 600= AD/BD

= a√3/a = √3

Therefore, tan 60 degrees exact value is given by,

Tan 60° = √3

Hope it would help.

plaez mark it brainliest answer..