====== Chapter 13: Inverse Trigonometric Functions ======
{{ :fsc:fsc_part_1_solutions:fsc-1-chap-13-ptb.jpg?nolink|Chapter 13: Inverse Trigonometric Functions}}
Notes (Solutions) of Chapter 13: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

====Contents & summary====
  * Introduction
  * The Inverse Sine Function
  * The Inverse Cosine Function
  * Inverse Tangent Function
  * Inverse Cotangent, Scant and Coscant Functions
  * Domains and Ranges of Principal Trigonometric Function and Inverse Functions
    * Exercise 13.1
  * Addition and Subtraction Formulas
    * Exercise 13.2

====Some important formulas====
  * ${\sin ^{ - 1}}A + {\sin ^{ - 1}}B = {\sin ^{ - 1}}\left( {A\sqrt {1 - {B^2}}  + B\sqrt {1 - {A^2}} } \right)$
  * ${\sin ^{ - 1}}A - {\sin ^{ - 1}}B = {\sin ^{ - 1}}\left( {A\sqrt {1 - {B^2}}  - B\sqrt {1 - {A^2}} } \right)$
  * ${\cos ^{ - 1}}A + {\cos ^{ - 1}}B = {\cos ^{ - 1}}\left( {AB - \sqrt {\left( {1 - {A^2}} \right)\left( {1 - {B^2}} \right)} } \right)$
  * ${\cos ^{ - 1}}A - {\cos ^{ - 1}}B = {\cos ^{ - 1}}\left( {AB + \sqrt {\left( {1 - {A^2}} \right)\left( {1 - {B^2}} \right)} } \right)$
  * $\displaystyle {\tan ^{ - 1}}A + {\tan ^{ - 1}}B = {\tan ^{ - 1}}\frac{{A + B}}{{1 - AB}}$
  * $\displaystyle{\tan ^{ - 1}}A - {\tan ^{ - 1}}B = {\tan ^{ - 1}}\frac{{A - B}}{{1 + AB}}$

====View online or download PDF====
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  * Exercise 13.1 | [[vfsc1>ch13:view&cp=01&p=06&ch=13&fp=Ex-13-1-FSC-part1-ver3|View Online]] | {{ :fsc:fsc_part_1_solutions:ex-13-1-fsc-part1-ver3.pdf |Download PDF}} UPD

  * Exercise 13.2 | [[vfsc1>ch13:view&cp=01&p=10&ch=13&fp=Ex-13-2-FSC-part1-ver3-1|View Online]] |  {{ :fsc:fsc_part_1_solutions:ex-13-2-fsc-part1-ver3-1.pdf |Download PDF}} UPD
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====Short Questions====
The following short questions was send by Mr. [[people:akhtar]].
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  * Chapter 13 | [[aafsc1>short-question-ch13-fsc-part1-akhtar-abbas|View Online]] | {{:fsc:fsc_part_1_mcqs:short-question-ch13-fsc-part1-akhtar-abbas.pdf|Download PDF}} NEW
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