Ask your own question, for FREE!
Mathematics 6 Online
esha1963:

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

esha1963:

@darkknight

darkknight:

whoops. I drew that wrong. HOld up

esha1963:

its okay :)

darkknight:

|dw:1590433526056:dw|

darkknight:

|dw:1590433652673:dw|

darkknight:

\[\sin=oppo/hypo.\] \[\cos=adj./hypo.\] \[\tan=oppo./adj.\]

esha1963:

sin= \[\frac{ \sqrt{2} }{ 2 }\]

esha1963:

is that correct?

esha1963:

or is that cos?

esha1963:

one is negative and one is positive, i know that

darkknight:

Actually all you have to do is that sin(theta) = y/r cos(theta) = x/r And tan(theta0 = y/x

darkknight:

r is \[\sqrt{x^2+y^2}\]

darkknight:

Where x is 1 and y is -1

esha1963:

so you'd use the pythagorean theorem right?

darkknight:

Yes, to find for tan(theta) = y/x

esha1963:

so confirm my answers

esha1963:

sin=\[\frac{ \sqrt{2} }{ 2 }\] cos= \[-\frac{ \sqrt{2} }{ 2 }\] tan= -1

esha1963:

correct?

darkknight:

No.

esha1963:

cos and sin have to switch?

darkknight:

sin is the y value. You flipped sin and cos

esha1963:

lol ok. i thought so

esha1963:

thanks! i have one more. can you help me?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!