Question

of sin theta =2/3 find cos theta show work i need help asap
edit-hint sin 2 theta+ cos2 theta = 0

Answer 1

you should be familiar with\[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

Answer 2

so draw a right triangle
given is sin theta =2/3
so what would be opposite side of theta ?>

Answer 3

idk tbh im not good at this

Answer 4

adjacent?

Answer 5

\[\huge\rm \sin \theta =\frac{\color{REd}{opposite}}{\color{blue}{hypotenuse}}=\frac{\color{red}{2}}{\color{blue}{3}}\]

Answer 6

and then

Answer 7

numerator = length of opposite side
denominator = length of hypohtunse side

Answer 8

i just saw the hint
you can use that as well
substitue sin for 2/3 and then solve for cos

Answer 9

can you write out the steps

Answer 10

to all i need t see it

Answer 11

the hint should be this \[\huge\rm \sin^2 \theta + \cos^2 \theta =1\]
equal to 1 not 0 ?

Answer 12

oh my bad

Answer 13

you are right sorry lol

Answer 14

its okay that's the MOST famous identity
alright you can use that equation to find cos
substitute sin for 2/3

Answer 15

so 2/3+cos theta=1

Answer 16

\[\huge\rm \sin^2 \theta + \cos^2 \theta =1\] \[\huge\rm (\frac{2}{3})^2 + \cos^2 \theta =1\]

solve for cos

Answer 17

don't forget the squares

Answer 18

ok

Answer 19

help me solve?