Question
If sin (4A − 5B) = (√2/2) and cos (A + B) = (√2/2),
where 0° < A, B < 90°, then find the value of ‘A’.Solution
sin (4A − 5B) = (√2/2)
Or, sin (4A − 5B) = sin 45°
Or, 4A − 5B = 45° ----------- (I)
And, cos (A + B) = (√2/2)
Or, cos (A + B) = cos 45°
Or, A + B = 45° -------------- (II)
On solving equation I + 5 × equation II, we get;
4A − 5B + 5 × (A + B) = 45 + 5 × 45
Or, 4A − 5B + 5A + 5B = 270°
Or, 9A = 270°
So, ‘A’ = 30°
W is taller than K who is shorter than U. O is taller than D but shorter than K. U is shorter than W. Who is the tallest?
Among F, G, H, I, J and K. H is taller than only F and K and I is shorter than only J and G. If each of them has a different height who among them will ...
What could be the possible height of R?
There are five persons Q, W, R, T and Y of different weights. T is heavier than Q and Y but not the heaviest. W is the lightest. Who among the following...
Who among the following weigh lighter than D?
In a group of four persons B, N, V, and W, V is fatter than only W but not as fat as N. B is also not as fat as N. Who is the leanest person in the group?
What is the weight of T?
There are five friends - D, F, H, M and P who have different heights. F is the tallest. H is taller than only M. P is not as tall as D. Who among the fo...
Who among the following is shorter than I but heavier than I?
Who is the second heaviest person?
