Amazing Trigonometry_3

Geometry Level 4

If \(\large \frac { \cos { (\alpha -3\vartheta ) } }{ { { \cos }^{ 3 }\vartheta } } =\frac { \sin { (\alpha -3\theta ) } }{ { \sin }^{ 3 }\vartheta } = m \) , then find the value of \( { m }^{ 2 }+m\cos { \alpha } \).


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