Question
If sin(A + B) = sinAcosB + cosAsinB, then the value of
sin75° isSolution
Since, sin(A + B) = sinAcosB + cosAsinB
Let A = 30 o and B = 45 o
sin(30 o + 45 o ) = sin30 o cos45 o + cos30 o sin45 o = 1/2√2 + √3/2√2 = (√3 + 1)/2√2
A man rows upstream 60 km and downstream 36 km taking 12 hours each. Find the speed of current.
...A boat covers a distance of 36 kilometers in still water in 24 minutes. If the current's speed is two-fifths of the boat's speed in still water, how lon...
A boat covers 32 km upstream and 40km downstream in 8 hours while it covers 40km upstream and 32 km downstream in 8.5 hours. What is the velocity of cur...
Speed of current is equal to 25% of speed of boat in still water. If the boat takes 5 hours to cover 120 km in still water, then find the time taken by ...
- A boat covers 90 km downstream and 70 km upstream in a total time of 10 hours. How much time will it take to travel 126 km downstream and 98 km upstream?
- A boat moves with a downstream speed that is 8 km/hr more than its upstream speed. If the boat’s speed in still water exceeds the current’s speed by 12...
A boat covers a certain distance against the stream in 9 hours 36 min and it covers the same distance along the stream in 6 hours. What is the ratio of ...
A man rows upstream 18 km and downstream 30 km taking 6 hours each. Find the man’s speed in still water.
If the sum of upstream and downstream speed is 24 km/hr and the speed of the current is 5 km/hr, then find the approximate time taken to cover 36 km dow...
A boat covers a distance of 240 km downstream in 8 hours. If the ratio of upstream speed to downstream speed of the boat is 2:5, then find the distance ...