Step-by-step explanation:
[tex] [\sin^2 \theta - (\cos^2 \theta) (\sin^2 \theta)] ^{-1} \\
=[\sin^2 \theta \{1- (\cos^2 \theta) \} ] ^{-1} \\
=[\sin^2 \theta \times \sin^2 \theta ] ^{-1} \\
=[\sin^4 \theta ] ^{-1} \\
=[(\sin\theta)^4 ] ^{-1} \\
=[(\sin\theta)^4 ] ^{-1} \\
=[(\sin 30\degree )^4 ] ^{-1} \\\\
=\bigg[\bigg(\frac{1}{2}\bigg)^4 \bigg] ^{-1} \\\\
=\bigg[\frac{1}{16}\bigg] ^{-1} \\\\
= 16[/tex]
