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

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°) = \((2\times\frac{2}3)\)\((\frac{1}4+4\times1-4)\) = \(\frac{4}3\)\((\frac{1}4+4\times1-4)\) = \(\frac{1}3\)

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°)

= \((2\times\frac{2}3)\)\((\frac{1}4+4\times1-4)\)

= \(\frac{4}3\)\((\frac{1}4+4\times1-4)\) = \(\frac{1}3\)