Practice30Create account

sec θ + tan θ = √3 and 0° < θ < 90°. Find θ.

Competition practiceTrigonometry
  • A30°
  • B60°
  • C45°
  • D15°

Step-by-Step Solution

sec θ − tan θ = 1/√3. Adding: 2 sec θ = √3 + 1/√3 = 4/√3, so sec θ = 2/√3, cos θ = √3/2 and θ = 30°.
Answer: A) 30°

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

Find the least value of 16 sec²θ + 9 cos²θ.By how much does the greatest value of 5 cos θ + 12 sin θ + 7 exceed its least value?What is the least value of cos²θ − 6 cos θ + 12?Find the value of cos 20° cos 40° cos 80°.A + B = 45°, with A and B positive. Find (1 + tan A)(1 + tan B).