Question
If sin A - cos A = 3/7, then find value of sinA + cos
B, where A is an acute angle.Solution
We Know that, (a+b)2 + (a-b)2 = 2(a2 + b2) Hence, (sin A + cos A)2 + 
= 2(sin2 A + cos2 A) => (sin A + cos A)2Â +Â Â = 2(1) => (sin A + cos A)2Â Â = 2 -Â => (sin A + cos A)2Â Â = 2 - = = => (sin A + cos A)Â =
A 309 litre mixture consists of milk, water and honey. In the mixture, the quantity of milk is 30% more than that of honey and the quantity of water is ...
- Two mixtures, A and B, have milk-to-sugar ratios of 5:3 and 6:7, respectively. When these two mixtures are combined, the total quantity of the final mixtur...
In a mixture of juice & water, 60 litres water is mixed due to which ratio changes from 3:4 to 1:2. Find initial quantity of mixture. (in lit...
A mixture contains milk and water in the ratio 7:8, respectively. If half of the mixture is replaced with 8 litres of water, then the resultant mixture ...
In a 600-gram mixture, the proportion of Component A to Component B is 3:7. If you add 20 grams of Component A and 80 grams of Component B to the mixtur...
In what ratio should water be mixed with milk so that by selling the mixture at the cost price of milk, there is a gain of 25%?
A 480 litre mixture contains only milk and water in the ratio 7:5 respectively. If 'x' litre of water is added to the mixture, then ratio of milk and w...
There are two jars A and B which contain mixture of milk and water. Jar A has 40 litre milk and 6 litres water while B has 78 litres mixture of milk and...
- Alloy ‘X’ is formed with copper and tin in the ratio 3:5, while alloy ‘Y’ consists of tin and nickel in the ratio 2:3. If 32 grams of ‘X’ and 5...
A 600 ml mixture contains milk and water in the ratio of 3:7, respectively. If ‘x’ ml of milk as well as the same amount of water is added to the mi...
