Evaluate each of the following: (cosec2 45° sec2 30°) (sin2 30° +

1.	Evaluate each of the following: (cosec2 45° sec2 30°) (sin2 30° + 4 cot2 45° - sec2 60°)
Answer» (cosec² 45° sec² 30°) (sin² 30° + 4 cot² 45° - sec² 60°) = \((2 \times \frac{2}{3})(\frac{1}{4} + 4 \times 1 - 4)\) = \(\frac{4}{3}(\frac{1}{4}+ 4 \times 1 - 4) = \frac{1}{3}\)

Evaluate each of the following: (cosec2 45° sec2 30°) (sin2 30° + 4 cot2 45° - sec2 60°)

Answer»

(cosec² 45° sec² 30°) (sin² 30° + 4 cot² 45° - sec² 60°)

= \((2 \times \frac{2}{3})(\frac{1}{4} + 4 \times 1 - 4)\)

= \(\frac{4}{3}(\frac{1}{4}+ 4 \times 1 - 4) = \frac{1}{3}\)