tan A/2 in Terms of tan A

We will learn about the trigonometric ratios of tan A/3 in terms of angle tan A. 

How to find the value of tan A/2 in terms of tan A?

For all values of the angle A we know that, tan A = 2 tan A/2/1 - tan^2 A/2 

⇒ 2 tan A/2 = tan A ∙ tan^2 A/2

⇒ tan A ∙ tan^2 A/2 + 2 tan A/2 - tan A = 0 

⇒ tan θ/2 = -2 ± √(4 + 4 tan^2 A)/2 tan A

⇒ tan θ/2 = -1 ± √1 + tan^2A/tan A

How to determine the sign of tan A/2?

If A is given then we can easily find the quadrant in which A/2 lies.

Therefore, using the rule of “All, sin, tan, cos” we can find the exact signs of tan A/2. In other words, if the value of tan A is given then A can have infinite number of values.

Hence, it is not possible to find the exact quadrant in which A/2 will lie.

Therefore, we cannot find a definite value of tan A/2.  


● Submultiple Angles





11 and 12 Grade Math

From tan A/2 in Terms of tan A to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

RSS

  1. Worksheet on Pictographs | Picture Graph Worksheets | Pictograph Works

    May 08, 24 02:51 PM

    Pictograph Worksheets
    In worksheet on pictographs, all grade students can practice the questions on data handling. We can present the given information in many ways. In pictograph the information is presented by using a pi…

    Read More

  2. Interpreting a Pictograph | Information Regarding the Pictograph |Math

    May 08, 24 02:16 PM

    Interpreting a pictograph
    In interpreting a pictograph, we get a lot of information regarding the pictograph items. The following examples may illustrate the interpretation of pictographs.

    Read More

  3. Pictograph to Represent The Collected Data | Forming Pictograph | Math

    May 07, 24 05:36 PM

    pictograph to represent the collected data
    Pictures or symbols are made in a pictograph to represent the collected data. So, we can say that a pictograph represents the data and gives information quickly and clearly.

    Read More

  4. Examples of Pictographs |Pictorial Representation|Pictograph Questions

    May 07, 24 05:27 PM

    Examples of Pictographs
    Some sample examples of pictographs or pictorial representation are shown, how the objects are used to give information regarding mathematical data. Read the pictograph and gather the information

    Read More

  5. Mental Math on Time | 4th Grade Time Worksheet | Tricks | Techniques

    May 07, 24 01:36 PM

    In mental math on time, we will solve different types of problems on reading time to the nearest minutes, reading time to the exact minutes, use of a.m. and p.m., 24-hours clock, days in a year and ca…

    Read More