Question

solve for theta :

Answer 1

\[\tan ^{2}\theta-13 = 5\sec \theta\] 0 degrees less than or equal to theta less than or equal to 360 degrees

Answer 2

\[\frac{\sin ^2x}{\cos ^2x}-\frac{5}{\cos x}-13=0\]
\[\sin ^2x-5\cos x-13\cos ^2x=0\]
\[(1-\cos ^2x)-5\cos x-13\cos ^2x=0\]
\[-14\cos ^2x-5\cos x+1=0\]
\[14\cos ^2x+5\cos x-1=0\]
\[(7\cos x-1)(2\cos x+1)=0\]

Answer 3

Set each factor equal to 0 and solve.

Answer 4

Thank you :)

Answer 5

yw