Practice30Create account

If 3 sin θ + 5 cos θ = 5 and θ is acute (0° < θ < 90°), find 5 sin θ − 3 cos θ.

Competition practiceTrigonometry
  • A−3
  • B3
  • C4
  • D√34

Step-by-Step Solution

, so the second is . The root gives ; the acute root gives 3.
Answer: B) 3

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

Two ships are on opposite sides of a 100 m high lighthouse. From its top, their angles…From the top of a 200 m high cliff, the angles of depression of two boats on the same…A tree breaks in a storm. The broken part bends over so that its top touches the ground…A flagstaff stands on top of a 20 m high building. From a point on the ground, the…A 1.5 m tall boy stands some distance from a 30 m tall building. As he walks towards the…