Question

Solve for θ if 0º ≤ θ < 360º
4 cos θ - 3 sec θ = 0

Answer 1

Remember that secθ is 1/cosθ :)

Answer 2

well try rewriting the equation as

\[4 \cos(x) = 3 \sec(x) ... or ..... 4\cos(x) = \frac{3}{\cos(x)}\]

then perhaps multiplying both sides of the equation by cos(x)

to start

Answer 3

i think this can be solved like this
\[4\cos \theta - 3(1divcos \theta)=0\]
or,\[4 \cos ^{2}\theta =3\]
\[or,\cos \theta=\sqrt{3\div4}\]
\[or,\cos \theta=\sqrt{3}\div2\]
and now we know that cos\[\sqrt{3}\div2 is cos 30,etc\]
in this way we can find the values of\[ \theta upto 360\]

Answer 4

well I would have thought

\[\cos(\theta) = \pm \frac{\sqrt{3}}{2}\]