If sinθ = \(\sqrt{3}\) cosθ, then what is the value of \(\frac{3\sin^2\theta + \cos\theta}{2\cos\theta + 5}\) ?
\(\frac{3}{2}\)
\(\frac{19}{25}\)
\(\frac{18}{5}\)
\(\frac{11}{24}\)
If θ = 45 degree, then what is the value of 2 cosec2 θ + 3 sec2 θ ?
If \(x^2 + \frac{1}{x^2} = 38\), then what is the value of \(x - \frac{1}{x}\) ?
If sin (C + D) = \(\frac{\sqrt{3}}{2}\) and sec (C - D) = \(\frac{2}{\sqrt{3}}\), then what is the value of C and D?
60 degree and 30 degree
15 degree and 30 degree
30 degree and 30 degree
45 degree and 15 degree
The line chart given below shows the saving and expenditure of 5 companies C,D,E,F and G.
Income = Saving + Expenditure
What is the ratio of total expenditure to the total incomes of all the companies?
Three circles of radius 7cm are placed in such a way that each circle touches the other two. What will be the area of the portion enclosed by these three circles?
\(49\sqrt{3} - 77\,\text{cm}^2\)
\(50\sqrt{3} - 66\,\text{cm}^2\)
\(40\sqrt{3} - 66\,\text{cm}^2\)
\(55\sqrt{3} - 77\,\text{cm}^2\)
If a + b + c = 0, then what is the value of a3 + b3 + c3 ?