Practice30Create account

If ·sin45°·cos45° = tan45°·cosec30°, then equals:

Competition practiceTrigonometry
  • 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

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Trigonometry practice questions

More Trigonometry practice

A point P lies 10 units from the origin O, and OP makes an angle of 30° with the…If tanθ + secθ = k, where k > 0, then cosθ written in terms of k is:If (1 + sinθ)/(1 − sinθ) = 9 and θ is acute, then secθ + tanθ equals:For an acute angle θ, the expression (1 + sinθ)/(1 − sinθ) − (1 − sinθ)/(1 + sinθ)…If cosθ/(1 − sinθ) + cosθ/(1 + sinθ) = 4 and θ is acute, then θ equals: