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CBSE Class 11-science Answered

Draw the graph of y = tanx

Asked by Topperlearning User | 31 May, 2016, 11:05: AM
Expert Answer
We know that the value of tanx repeats after an interval of . To draw the graph we shall first find the values of tanx for some convenient values of x in [0, ]

       W h e n space x equals 0 degree comma space y equals tan 0 degree equals 0
W h e n space x equals 30 degree comma space y equals t a n 30 degree equals fraction numerator 1 over denominator square root of 3 end fraction equals 0.58
W h e n space x equals 45 degree comma space y equals t a n 45 degree equals 1
W h e n space x equals 60 degree comma space y equals t a n 60 degree equals square root of 3 equals 1.732
W h e n space x equals 90 degree comma space y equals t a n 90 degree semicolon space y space i s space u n d e f i n e d
W h e n space x equals 120 degree comma space y equals t a n 120 degree equals negative square root of 3 equals negative 1.732
W h e n space x equals 135 degree comma space y equals t a n 135 degree equals negative 1
W h e n space x equals 150 degree comma space y equals t a n 150 degree equals negative fraction numerator 1 over denominator square root of 3 end fraction equals negative 0.58
W h e n space x equals 180 degree comma space y equals t a n 180 degree equals 0
We know that tan90o is not defined, but as the angle x approaches 90o from left side the value of tanx increases indefinitely. Similarly as the angle x approaches 90o from right side, the value of tanx decreases indefinitely.
Hence the graph of above function is as follows-
Answered by | 31 May, 2016, 01:05: PM
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