Question

Given that x=3sin@-2cos@ and y=3cos@+2sin@
, Show that x^2+y^2 is constant for all values of @.



@=titre or whatever it spells .
Hope you guys can help:)

Answer 1

so did you square the 'x' ?
what did u get ?

x^2=(3sin@-2cos@ )^2 = ... ?

Answer 2

you only need one relation to prove that :
\(\huge \sin^2\theta+\cos^2 \theta =1\)

Answer 3

okok thanks alot I've understood it!

Answer 4

cool :)
welcome ^_^