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CBSE Class 11-science Answered

If x lies in  III quadrant and tanx = , find the values of other trigonometric functions

Asked by Topperlearning User | 31 May, 2016, 10:27: AM
Expert Answer
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
 
 
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 
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 
Answered by | 31 May, 2016, 12:27: PM
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