If \(\sin\theta=\frac{5}{13}\), then what is the value of \(\frac{\cos^2\theta-\sin^2\theta}{2\cos\theta\sin\theta}\)?
\(\frac{115}{126}\)
\(\frac{113}{120}\)
\(\frac{117}{136}\)
\(\frac{119}{120}\)
Sides of a triangle are 9cm, 6cm and 5cm. What is the value of circumradius of this triangel?
\(\frac{9\sqrt{3}}{4}\,\text{cm}\)
\(\frac{9\sqrt{3}}{5}\,\text{cm}\)
\(\frac{27\sqrt{2}}{8}\,\text{cm}\)
\(\frac{9\sqrt{2}}{2}\,\text{cm}\)
If sinα = \(\frac{1}{2}\) and sinβ = \(\frac{1}{2}\), then what is the value of cos(α + β)? (0 degree<α,β<90 degree)
If a + b + c = 1, ab + bc + ca = -1 and abc = -1, then what is the value of a3 + b3 + c3 ?
Initial value of a car is Rs.20,000. The value of car depreciated by 20 percent of its initial value each year. What will be its value after 3 years?