Question

Given that Sinθ=5Cosθ, (∴ Tanθ=5)
Hence find the values of θ in the interval 0≤x≤360 for which Sinθ=5Cosθ

Answer 1

in otherwords, find values of θ for which Tanθ=5

\[\theta=tan^{-1}(5)\]
\[\theta=78.69^o\]

trig functions are periodic, and tanθ=5 each:
\[78.69+n\pi\]
where n is integer.

Answer 2

n only equal to 0 and 1

Answer 3

nope :P, not only 0 and 1, and integer, -1,-2,-10000000000, or 10000000 answer will be 5

Answer 4

any*

Answer 5

0<x<360

Answer 6

oh, oops

Answer 7

if your n=100, then it will be 100pi+78.69=3600+78.69