Question

Prove: tan^2 θ•cos^2 θ + cos^2 θ = 1. You must show all work. any help please?

Answer 1

Okay so this is what grade?

Answer 2

write tan^2 in terms of sin cosine
tan = what ?

Answer 3

this is 11th grade math. trigonometry in Algebra 2

Answer 4

i have no clue

Answer 5

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

Answer 6

\[\tan=\frac{ \sin }{ \cos } ~~~\cos= \frac{ 1 }{ \sec }~~~\sin=\frac{ 1 }{ \csc }\]
for that question we just need tan=sin/cos

Answer 7

oh, right... x/y

Answer 8

\[\huge\rm \color{ReD}{tan^2 \theta} • \cos^2 \theta+\cos^2 \theta=1\]
we can rewrite tan^2 in terms of sin cosine \[\huge\rm \color{Red}{\frac{ \sin^2 \theta }{ \cos^2 \theta }}• \cos^2 \theta+\cos^2 \theta=1\]

Answer 9

which would eliminate the cos^2

Answer 10

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

Answer 11

okay, thanks

Answer 12

cos^2 theta **

Answer 13

sin^2 +cos^2 equal to what ??

Answer 14

1

Answer 15

hey m jst guessing ( ͡° ͜ʖ ͡° )