Question
Solution
√(sec2θ + cosec2θ) × √(tan2θ – sin2θ) ⇒ √(1/cos2θ + 1/sin2θ) × √(sin2θ/cos2θ – sin2θ) ⇒ √[(sin2θ + cos2θ) / (sin2θ.cos2θ)] × √[sin2θ.(1/cos2θ – 1) ⇒ √[1/ (sin2θ.cos2θ)] × √[sin2θ.(1 – cos2θ) /cos2θ) ⇒ 1/ (sinθ.cosθ) × sin2θ/cosθ  => sinθ.sec2θ
The ratio of two numbers 'a' and 'b' is 7:4, respectively. Whereas the ratio of 'b' and 'c' is 5:8, respectively. When 15 is added to 'a', it becomes th...
Factor the polynomial: x³ - 6x² + 11x - 6.
To construct a house, 18 workers laboring 5 hours daily complete the job in 22 days. If the workforce increases to 24 workers, each working 7.5 hours pe...
Ankit can finish 25% of a task in 4 days. Bhuvan is 20% less efficient than Ankit. How many days will it take for both of them to...
A trader cheats by using a weighing scale that shows 1 kg while actually giving only 900 grams. He also marks up the goods by 25% and then gives a 10% d...
If tan(π/4 + θ) = 3, find tan(2θ):
The ratio of Pawan's income to Qureshi's income is 6:5. Pawan spends 75% of his income, while Qureshi saves 24% of his income. What percentage of Pawan'...
Rs. 8000 was lent in two parts, first part at 5 % p.a. and the remaining at 4% p.a. If the total simple interest from both the parts in 4 years was Rs. ...
What is the total number of work hours reported by employees in the Sales department?
The simple interest on a sum of money for 3 years is 1,200 at a rate of 10% per annum. What is the compound interest on the same sum for the same time a...