Question
A boat running downstream covers a distance of 36 km in
6 hrs and covering the same distance upstream in 9 hrs. What is the speed of a boat in still water?Solution
Downstream speed = 36/6 = 6 km/hr Upstream speed = 36/9 = 4 km/hr So speed of boat in still water = (6 + 4)/2 = 5 km/hr
Simplify the following trigonometric expression:
10 cos 71° sec 19° − 4 cot 62° tan 28°If (1+sinθ)/cosθ = x, then find the value of secθ?
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Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?
If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.
tan 4˚ × tan 43˚ × tan 47˚ × tan 86˚ = ?
[(sinx – 2sin 3 x)/(2cos 3 x – cosx)] 2  + 1, x ≠45 o , is equal to:
Find the value of `1/2`  cosec 10  - `2/(cosec 70)`  ?
- Simplify the following trigonometric expression:
11 sin 42° sec 48° − 7 tan 37° tan 53° If tan A = 1 and tan B = √ 3, what is the value of cos A . cos B - sin A . sin B?
