logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XI  >>  Math  >>  Trigonometric Functions
0 votes

Find the values of other five trignometric function $\tan x=\large\frac{-5}{12}$,$x$ lies in the second quadrant

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • $\sin \theta=\large\frac{\text{opposite}}{\text{hypotenuse}}$
  • $\cos \theta=\large\frac{\text{adjacent}}{\text{hypotenuse}}$
  • $\tan \theta=\large\frac{\text{opposite}}{\text{adjacent}}$
  • $cosec \theta=\large\frac{\text{hypotenuse}}{\text{opposite}}$
  • $\sec \theta=\large\frac{\text{hypotenuse}}{\text{adjacent}}$
  • $\cot \theta=\large\frac{\text{adjacent}}{\text{opposite}}$
Since $x$ lies in second quadrant
$\tan x=\large\frac{MP}{OM}=\frac{-5}{12}=\frac{5}{-12}$
$MP=5,OM=-12$
$OP=\sqrt{MP^2+OM^2}$
$\;\;\;=\sqrt{5^2+(-12)^2}=\sqrt{25+144}=\sqrt{169}=13$
$OP=13$
$\sin x=\large\frac{MP}{OP}=\frac{5}{13}$
$\cos x=\large\frac{OM}{OP}=\frac{-12}{13}=-\frac{12}{13}$
$cosec x=\large\frac{OP}{MP}=\frac{13}{5}$
$\sec x=\large\frac{OP}{OM}=\frac{13}{-12}=-\frac{13}{12}$
$\tan x=\large\frac{OM}{MP}=\frac{-12}{5}=-\frac{12}{5}$
answered Apr 17, 2014 by sreemathi.v
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...