CBSE Class 11-science Answered
If x lies in III quadrant and tanx =
, find the values of other trigonometric functions
![](http://images.topperlearning.com/topper/questions/7656_image025.gif)
Asked by Topperlearning User | 31 May, 2016, 10:27: AM
![S i n c e space tan x equals 4 over 3 comma space w e space h a v e space c o t x equals 3 over 4](https://images.topperlearning.com/topper/tinymce/cache/0663aec4f268e01afdb0ac304edc719f.png)
![](https://images.topperlearning.com/topper/questions/7656_image027.gif)
Since x lies in the IIIrd quadrant, secx will be negative
![T h e r e f o r e comma space s e c x equals fraction numerator negative 5 over denominator 3 end fraction rightwards double arrow cos x equals fraction numerator negative 3 over denominator 5 end fraction](https://images.topperlearning.com/topper/tinymce/cache/e39581599e2be87932713484e52d825a.png)
Further we have,
![sin x equals tan x cross times cos x equals 4 over 3 cross times open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses equals fraction numerator negative 4 over denominator 5 end fraction
H e n c e space cos e c x equals fraction numerator negative 5 over denominator 4 end fraction](https://images.topperlearning.com/topper/tinymce/cache/f9373815d51605238a920f968f69cf91.png)
Answered by | 31 May, 2016, 12:27: PM
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