Draw the graph of y = tanx

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 tan90^o is not defined, but as the angle x approaches 90^o from left side the value of tanx increases indefinitely. Similarly as the angle x approaches 90^o from right side, the value of tanx decreases indefinitely.

Hence the graph of above function is as follows-