7sin²ϕ + 3cos² ϕ= 4sin² ϕ+ 3sin² ϕ +3cos² ϕ = 4 4sin² ϕ+ 3(sin2 ϕ + cos2ϕ) = 4 4sin²ϕ+ 3 (1) = 4 4sin²ϕ + 4 - 3 = 1 4sin²ϕ = 1 sin²ϕ= 1/4 sin ϕ = 1/2 sin30° = 1/2 Hence, ϕ = 30
The current ages of 'A' and 'B' are in the ratio 4:7. Currently, 'B' is 8 years younger than what 'C' was 6 years ago. If 'C' is 42 years old now, what ...
Mahesh said to his son, “At the time of your birth” I was as old as you are at present. If the Mahesh’s age is 42 years now then what will be the ...
4 years ago, Amandeep's age was 1.5 times that of Amanpreet. 4 years from now, the age difference between Amandeep and Amanpreet will be 20 years. What ...
A is 3 years older than B while C is 5 years younger than B. The ratio of age of A, 6 years hence and age of B, 3 years ago is 4:3. What was age of C, 1...
A is 10 years older than B and B is 14 years younger than C. If the sum of the ages of A, B and C is 54 years, then what is B’s age after 9 years?
A certain sum of money becomes 4 times of itself in 15 years at simple interest. In how many years does it become double of itself at the same rate of s...
C is three years older than B, while ratio of age of A to that of B four years ago was 3: 5. If age of A eight years later will be equal to the age of C...
7 years ago, the ratio of the ages of Pia and Qasim was 9:7. The present age of Tom is 20 years more than one-seventh of Qasim’s present age. Find Tom...
The ratio of the present ages of ‘A’ and ‘B’ is 8:5, respectively. Three years hence from now, the age of ‘B’ will be 23 years. If the avera...
In a family of four, the average age of Anu, Ben, Carla, and Dan is 28 years. The ratio of Carla's to Eva's present ages is 5:6, and Ben's age is 20% le...
