Question
If tan α = 1/2, tan β = 1/3, then find α +
β.Solution
tan α = 1/2 and tan ẞ = 1/3  tan (α + β) = [tan a + tan ẞ] / [1 - tan x tan β]  tan (α + β) = [1/2 + 1/3] / [1-1/2 × 1/3]  tan (α + β) = [(3 + 2) /6] / [1-1/6]  tan (α + β) = (5/6)/ (5/6)  tan (α + β) = 1  tan (α + β) = tan 45°  (α + β) = 45°
A shopkeeper bought 120 kg of sugar at ₹40 per kg and 150 kg at ₹30 per kg. If he sells the entire quantity at ₹45 per kg, what is his total profit?
What is respective ratio of the number of males in Dehradun and females in Lucknow together to the number of males in Pune and females in Chandigarh tog...
Find the ratio of the number of swimming class students from institute E and the number of swimming class students from institute C.
If number of Natraj pencil sold on Saturday is 20% less than the total number of pencils sold on Thursday and Friday together, then find the number of N...
What is the difference between the cost of fencing of R and that of Q?
The total expenditure of a family on different heads is shown in the pie chart. If the total expenditure of the family is 72,000, then what is the diffe...
Number of students who obtained more than 69 but less than 140 marks in Maths is approximately how much percent less or more than that of the students w...
The turnover of Company R, company S and company U in 2015, 2014 and 2017 respectively is approximately what percent of the turnover of company P, Q, S ...
If the number of jackets produced by company E is twice the number of jackets produced by company C. The ratio of the number jackets and shirts produced...
What is ratio of total number of functions organized in hall B during May and June to the total number of functions organized in Hall C during April and...