The value of x in the equation \(tan^2{π\over 4}-cos^2{π\over 3} = x sin{π\over 4}.cos{π\over 4}.tan{π\over 3}\) is:-
If θ is an acute angle and tan θ + cot θ = 2, then the value of \(tan^{200} θ + cot^{200} θ\) is:
A marks her goods 25% above the cost price. She sells 25% of the goods at the marked price, 60% at 25% discount and the remaining at 10% discount. What is her overall gain or loss percent?
A cloth merchant on selling 33 metres of cloths obtains a profit equal to the selling price of 11 metres of cloth. The profit is
A certain sum amounts to Rs. 13754 at 15% p.a. in \({2}{ 4 \over 15 }\)years, interest compounded yearly. The sum is: