Practice30Create account

For how many values of θ with 0° ≤ θ < 360° does 4sinθ + 3cosθ = 6 hold?

Competition practiceTrigonometry
  • Aexactly one value
  • Bexactly two values
  • Cno value of θ
  • Dinfinitely many values

Step-by-Step Solution

An expression a·sinθ + ·cosθ stays between −√ and √. Here that range is −5 to 5, and 6 lies outside it, so the equation has no solution at all.
Answer: C) no value of θ

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

The minimum value of sec²θ + cosec²θ is:If sinθ − cosθ = 1/2, then sin⁴θ + cos⁴θ equals:If cosecθ − sinθ = a³ and secθ − cosθ = b³, then a²b²(a² + b²) equals:The expression (tanθ + secθ − 1)/(tanθ − secθ + 1) simplifies to:A flagstaff 6 m tall stands upright on the top of a tower. From a point on the ground…