Trigonometry Problem Solvers

Introduction for trigonometry problem solvers:

Trigonometry is the main branch in the mathematics subject. That trigonometry deals with angles and sides of the triangles and many. Solver is defined by so many types. In mathematics, a thinker who is focuses on the problem and tries to find the solution for the problem. But mostly a solver is known as the software tool for solving the mathematical problems and equations. Here in this article we have to explain about the trigonometry problem solvers.

Explanation of the Problem Solvers:

The solvers are the general term indicating the part of mathematical software, possibly in the form of standard solving method software in online.
A solver takes the problem descriptions in the same as general form and calculates the solution of the problem or equations.
In solvers all the math mechanisms are allowed to perform and solve the solutions.
In the solvers are used for easily solve the mathematics problems.
In trigonometry we can use all the formats of problems and solve by solvers.
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Trigonometry Example Problems Solving by Solvers:

Example 1: Determine the equal term of given function `(1 + tan^2(x)) / (cos^ 2(x))` .

Solution:

Given: Function is `(1+ tan^2(x)) / (cos^ 2(x))` .

We know the trigonometry identity, `sin(x)/cos(x) = tan x`

Now we can write `=(1 + ((sin^2(x) / cos^2(x)) / ((cos^2 (x))`

So, we get `=(cos^2(x) + sin^ 2(x)) / (cos^2(x)) / (cos^ 2(x))`

` = 1 + (cos^2 (x))/ (cos^2 (x)).`

` = [1 / (cos^2(x)*cos^(x))]`

` = (1/(cos^ 4(x)))`

`= sec^ 4 (x)`

Answer: The equivalent term is `sec^ 4(x).`

Example 2: Solve: `sin 45= 0.7071 = cos 45`   find the value of `tan 45` ?

Solution:

Given:

`sin 45o= 0.7071 = cos 45o`

We know the trigonometry relation between tan, sin and cosine

`tan A = sin A / cos A`

So, `tan 45o = sin 45o / cos 45o`

`= 0.7071/0.7071`

`= 1`

Answer is 1.

Example 3: Find the equivalent term of given trigonometric term function `(1- cos^2 (x)) / (sin^2 x)` .

Solution:

Given function is`(1- cos^2 (x)) / (sin^2 x).`

We know the trigonometry identity,

` 1- cos ^2 (x) = sin^ 2(x)`

= `sin^2 (x) / sin^2(x)`

= `1`

Answer: The equivalent term of `(1- cos^2 (x)) / (sin^2 x) = 1.`

Those all the above example problems and explanations will make clear for the trigonometry problem solvers.