anonymous
  • anonymous
Prove: tan^2 θ•cos^2 θ + cos^2 θ = 1. You must show all work. any help please?
Mathematics
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anonymous
  • anonymous
Prove: tan^2 θ•cos^2 θ + cos^2 θ = 1. You must show all work. any help please?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Okay so this is what grade?
Nnesha
  • Nnesha
write tan^2 in terms of sin cosine tan = what ?
anonymous
  • anonymous
this is 11th grade math. trigonometry in Algebra 2

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anonymous
  • anonymous
i have no clue
Nnesha
  • Nnesha
alright first you need to know the definition of sin /cos and tan 1/csc ,1/ sec ,1/cot are reciprocal of sin , cos and sin \[\tan =\frac{ 1 }{ \cot }\] or you can say tan =sin/cos same thing
Nnesha
  • Nnesha
\[\tan=\frac{ \sin }{ \cos } ~~~\cos= \frac{ 1 }{ \sec }~~~\sin=\frac{ 1 }{ \csc }\] for that question we just need tan=sin/cos
anonymous
  • anonymous
oh, right... x/y
Nnesha
  • Nnesha
\[\huge\rm \color{ReD}{tan^2 \theta} • \cos^2 \theta+\cos^2 \theta=1\] we can rewrite tan^2 in terms of sin cosine \[\huge\rm \color{Red}{\frac{ \sin^2 \theta }{ \cos^2 \theta }}• \cos^2 \theta+\cos^2 \theta=1\]
anonymous
  • anonymous
which would eliminate the cos^2
Nnesha
  • Nnesha
yes right \[\huge\rm \color{Red}{\frac{\sin^2 \theta }{\cancel{ \cos^2 \theta} }}• \cancel {\cos^2 \theta}+\cos^2 \theta=1\] left with \[\huge\rm\color{blue}{ sin^2 \theta +\cos^2} =1\] you should b familiar with that special identity
anonymous
  • anonymous
okay, thanks
Nnesha
  • Nnesha
cos^2 theta **
Nnesha
  • Nnesha
sin^2 +cos^2 equal to what ??
imqwerty
  • imqwerty
1
imqwerty
  • imqwerty
hey m jst guessing ( ͡° ͜ʖ ͡° )

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