Question

Evaluate each of the following:  

cosec²30° cos60° tan²45° sin² 90° sec² cost 30°

Answer 1

cosec²30° cos60° tan²45° sin² 90° sec² cost 30°

= \((2)^3 \times \frac{1}{2} \times (1)^3 \times (1)^ 2 \times(\sqrt{2})^2 - \sqrt{3}\)

= 8 \(\times \frac{1}{2} \times 1 \times 2 - \sqrt{3}\)

= \(8\sqrt{3}\)