Single Trigonometric Function

[nycmathguy]

Look for more PM questions later tonight. I do care and value everything you have to say whether we agree or not. Let's learn to agree to disagree.

WE RETURN TO CALCULUS NEXT WEEKEND.

 

[MathLover1]

..................use identity sec^2(t)=1/cos^2(t)

=

=

=

=

..................simplify, cancel cos^2(t)


=sin^2(t)

domain:
R (all real numbers)

range:
{y element R : 0<=y<=1}

 

[nycmathguy]

View attachment 3528..................use identity sec^2(t)=1/cos^2(t)

=View attachment 3529

=View attachment 3530


=View attachment 3531


=View attachment 3532..................simplify, cancel cos^2(t)


=sin^2(t)

domain:
R (all real numbers)

range:
{y element R : 0<=y<=1}

Can you explain in words your answer for the range?
Thanks.

P. S. You totally ignored all my PM questions after I dedicated about 45 minutes to put it all together. This is not cool. You remind me so much of MarkFL and Soroban from previously visited math forums.