- A2
- B1
- C1/4
- D4
Step-by-Step Solution
sin45°·cos45° = (1/√2)(1/√2) = 1/2, while tan45° = 1 and cosec30° = 1/sin30° = 2. The equation is therefore , so . Treating sin45°·cos45° as 1 gives , reading cosec30° as 1/2 (that is sin30°) gives , and inverting the last step gives 1/4.
Answer: D) 4