Question
If sin(3θ) = cos(2θ), find
θ.Solution
We know sin(3θ) = cos(2θ). Using the identity cos(2θ) = sin(90° - 2θ) 3θ = 90° - 2θ Solving 3θ = 90° - 2θ gives 5θ = 90°, so θ = 18°. Answer: a
- A soldier hears the sound of a cannon that was fired 3 km away after 30 seconds. Calculate the speed of sound.
Sita increased her speed by 25% and was able to complete a journey of 360 km in 3 hours less than she would have with her original speed. Find the time ...
- A biker rode for 3 hours at 80 km/h and then for 2 hours at 60 km/h. Calculate the average speed during the entire ride.
- A spy is 1.8 km ahead of an agent who begins to chase him. The agent runs at a speed of 12 m/s, while the spy runs at 8 m/s. How much time will the agent t...
A car travels a distance of 150 km at the speed of 30 kmph. If it covers the ne×t 180 km of its journey at the speed of 60 kmph and last 80 km of ...
‘A’ and ‘B’ started moving towards each other at same time with a speed of 27 km/hr and 15 km/hr, respectively. If the distance covered by ‘A�...
Ratio of speeds of ‘A’ and ‘B’ is 4:9, respectively. If they participate in a 270-metre race and ‘B’ gives ‘A’, a head start of ‘m’ ...
Buses A and B are moving around a circular ground of radius 140 m. If the speeds of the buses A and B are 15 m/sec and 20 m/sec respectively, then what ...
- Vikram drives for 15 hours at a speed of 22 km/h. If he wants to travel the same distance in 11 hours, what speed should he maintain?
A motor-cycle covers 125 km with a speed of 60 km/hr. find the speed of the motor-cycle for the next 125 km journey so that the average speed of the who...