Sin and Cosine Calculator

In general calculator is used to reduce our burden in working and calculating the  problems. In online there were many calculators are available. These calculators are working superbly in producing result. They are reducing our burden in superb manner. In calculator we get exact result for every/all the questions proceeded in it. We have seperate calculator for all the functions using in math in online. Online is one of the precious in which contains all those calculators are available.

Sin and Cosine Calculator:

Sin and cosine calculator is used to find the functions and degree and also the ratios in it. Now we are going to see about the sin cosine calculator in the form of finding equivalent function for the given function. This is used to find the equivalent function of the given sin and cosine function by using the sin and cosine calculator. There is a text space to enter the sin and cosine function. Calculate button is used to calculate the solution. Reset button is used to clear the text in the text fields. Sample calculator is shown below,

Sin and Cosine Calculator
Example for Sin Cosine Calculator:

Example for sin cosine calculator 1:

Show that given trigonometry term: tanx (cos x cosec x + cos x tan x) =  1 + sin x tanx

Solution:

Given trigonometry term:  tanx (cos x cosec x + cos x tan x) =  1 + sin x tanx

Take left side    tanx (cos x cosec x + cos x tan x)

Plug  cos x cosec x = cos x * 1 / sin x = cosx/sinx and  tan x = sin x / cos x

=  (sin x / cos x) (cos x / sin x + cos x sin x / cos x )

= (sin x / cos x) (cos x / sin x  + sin x )                    we know cosx/sinx  = 1/tanx = cotx

= ((sin x / cos x) (cosx/sinx)) + ((sinx/cosx)sinx)

Taking lcm so,                     = 1 + tan x sinx.

= Right hand side

I am planning to write more post on Finding Imaginary Roots and Baye S Theorem. Keep checking my blog.

Example for sin cosine calculator 2:

Verify that given inverse trigonometric function:  "(cos x+ cos 2x +  = tan^-1((5x)/2)

Solution:

Given inverse trigonometric function: "(cos x+  = tan^-1((5x)/2)

Consider Left side function,

= "(cos x+ cos 2x + cos 3x +

= "(2 cos ((5x)/2) cos ((-3x)/2) + 2 cos ((5x)/2) cos ((-x)/2))/(2 sin ((5x)/2) cos((-3x)/2) + 2

= " (2 cos ((5x)/2) (cos ((3x)/2) + cos ((x)/2))) /

We know that cos - theta = cos theta

= (cos ((5x)/2))/(sin ((5x)/2))

= cot ((5x)/2)                                        we know cot x = 1/tanx = tan-1x

=  tan^(-1) ((5x)/2)

=  Right side.