How do you find the exact values of #costheta# and #tantheta# when #sintheta=0#?

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Answer 1 · 2018-07-13T10:21:34

#tantheta=0 and costheta=+-1#

Here,

#sintheta=0#

We know that ,

#color(red)(cos^2theta+sin^2theta=1#

#=>cos^2theta+(0)^2=1#

#=>cos^2theta=1#

#=>costheta=+-1=>costheta=1 or costheta=-1#

Now ,

#color(blue)(tantheta=sintheta/costheta#

#=>tantheta=0/1=0 or tantheta=0/(-1)=0#

Hence ,

#tantheta=0 and costheta=+-1#