Question

If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?

Answer 1

what have you tried?

Answer 2

wym

Answer 3

there are several methods to solve this,
triangle method, trigonometric identities, etc...

which one are you comfortable with?

Answer 4

triangle

Answer 5

\(\sin^2 x + \cos^2 x =1\)

you have sin value, plug that in and find the cos value!

Answer 6

where did u get those number from

Answer 7

thats a trigonometric identity that you can use.

sin x = 5/6 is given

so
\((5/6)^2 + \cos^2 x =1\)

only cos x is unknown here, isolate it and find its value :)

Answer 8

cos will be 11

Answer 9

how did u get that?
can you show me your workings?

Answer 10

i added 6+5

Answer 11

let me show you the workings and you let me know if you have any doubts in that,

\((5/6)^2 +\cos^2 x =1 \\ \cos^2 x = 1 -(5/6)^2 \\ \cos^2 x = 1- 25/36 \\ \cos^2 x = (36-25)/36 \\ \cos^2 x = 11/36 \\ \cos x = \sqrt{11/36} \\ \cos x = \dfrac{\sqrt {11}}{6} \\ \)

thats your answer for cos.


tan is very easy,
just
tan x = sin x/ cos x
try to get it :)

Answer 12

thank u