Practice30Create account

Which statement is correct for every θ with 0° < θ < 45°?

Competition practiceTrigonometry
  • Asinθ > cosθ
  • Bcotθ < 1
  • Ctanθ < 1
  • Dsecθ > cosecθ

Step-by-Step Solution

Below 45° the tangent is still climbing towards tan45° = 1, so tanθ < 1. In the same range cosθ > sinθ, which makes cotθ = cosθ/sinθ greater than 1 and secθ = 1/cosθ smaller than 1/sinθ = cosecθ. So the other three statements are each the reverse of the truth.
Answer: C) tanθ < 1

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

From the bottom and from the top of a 15 m tall building, the angles of elevation of the…Expressed in terms of sin3θ, the value of sin³θ is:If A, B and C are the angles of a triangle, then cotA·cotB + cotB·cotC + cotC·cotA equals:The number of values of θ with 0° ≤ θ < 360° for which sin3θ = 0 is:If sinθ < 0 and cotθ > 0, then θ lies in the: