Romero Love

11/21/2023 · escuela secundaria

Instruction: Solve what is asked. Write your answers in a separate lon paper. Show \( \operatorname{complete~SOLUTIONS~to~gain~points!~} \) 1. simplify \( \frac{1}{\sin ^{2} A}-\frac{1}{\tan ^{2} A} \) 2. \( 1-\frac{\sin ^{2} \theta}{\tan ^{2} \theta} \) 3. Prove \( \sin 3 \mathrm{x}=3 \cos ^{2} \mathrm{x} \sin \mathrm{x}-\sin ^{2} \mathrm{x} \) 4. Prove \( \sec 2 \mathrm{x}=\frac{\csc ^{2} \mathrm{x}}{\csc ^{2} \mathrm{x}-2} \) 5. Prove \( \frac{1+\cos \theta}{\sin \theta}+\frac{\sin \theta}{1+\cos \theta}=2 \csc \theta \) 6. Prove \( \frac{\csc c^{2} \theta-1}{\csc c^{2} \theta}=\cos ^{2} \theta \) 7. Prove \( \frac{1}{1-\cos \mathrm{B}}+\frac{1}{1+\cos \mathrm{B}}=2 \csc ^{2} \) 8. Prove \( \left(\cot ^{2} \mathrm{~A}+1\right)\left(\sin ^{2} \mathrm{~A}-1\right)=-\cot ^{2} \mathrm{~A} \)