Solving Using Trigonometric Functions

In the trigonometric function also known as circular function of an angle. They are organizing to transmit the angles of a triangle to the lengths of the surface of a triangle. Trigonometric functions are consider of triangles. Trigonometric functions get in a large range of uses to contain determine indefinite lengths as well angles in triangles frequently right triangles. Trigonometric function signifies the ratio of the exterior of the right triangle.

Solving Using Trigonometric Functions:

The sine function acquires a position as well length of the y-component of to triangle. The cosine function obtains a position as well duration of x-component of a triangle. The tangent function gets an angle and angle y-component separated through the x-component.

They are organizing to transmit the angles of a triangle to the lengths of the surface of a triangle. Trigonometric functions are considerable of triangles

Trigonometic functions are,

Sin = `"opposite"/"hypotenuse"`
Cos =` "adjacent"/"hypotenuse"`
tan =`"opposite"/"adjacent"`
cot  = `"adjacent"/"opposite"`
sec = `"hypotenuse"/"adjacent"`
csc =`"hypotenuse"/"opposite"`

eciprocal function:

There are three reciprocal function in trigonometric.

Csc x = `1/(sin x)`

Sec x =` 1/(cos x)`

cot x =` 1/ (tan x)`
Examples for Solving Using Trigonometric Functions:

Example 1:

solving using trigonometric function  sin 65°, cos 70°, tan 50°

Solution:

Step 1: the given function is sin 65°, cos 70°, tan 50°

So the answer is,

sin 65° = 0.826828679
cos 70° = 0.633319203

tan 50° = -0.271900612

Example 2:

Solving using trigonometric function  using sin function.

trignometric function using sin function

Solution:

Step 1: Using the sin function

Step 2: Sin = `"opposite"/"hypotenuse"`

Step 3: =    `80/76`

So the solution is Sin = 1.0526

Example 3:

Solving using trigonometric function using cos function.

trignometric function using cos function

Solution:

Step 1: Using the cos function

Step 2: Cos =` "adjacent"/"hypotenuse"`

Step 3: =    `cos = 40/75`

So the solution is Cos =0.53

I am planning to write more post on Statistics Definitions and Sample Space Examples. Keep checking my blog.

Example 4:

Solving  tan function for the following right triangle.(using trigometry functions)

Solving trignometric function using tan function

Solution:

Step 1: Using the tan function

Step 2: tan =`"opposite"/"adjacent"`

Step 3:     `tan = 45/55`

So the solution is Tan = 0.81

Example 5:

Solving cot function for the following right triangle.

trignometric function using cot function

Solution:

Step 1: Using the Cot function

Step 2: cot  = `"adjacent"/"opposite"`

Step 3:        =  `86/75`

So the solution is Cot =1.146

Example 6:

solving using trigonometric function   using Sec function

trignometric function using Sec function

Solution:

Step 1: Using the Sec function

Step 2: sec = `"hypotenuse"/"adjacent"`

Step 3:    Sec = `75/40`

So the solution is Sec = 1.875

My previous blog post was on Solving Linear Equations Using Matrices please express your views on the post by commenting.

Example 7:

Solving csc function for the following right triangle.

trignometric function using Sec function

Solution:

Step 1: Using the Sec function

Step 2: csc =`"hypotenuse"/"opposite"`

Step 3:  Csc = `40/65`

So the solution is Csc =0.615