The value of \(\frac{\cos^2 89^\circ + \cos^2 1^\circ}{\cos 30^\circ \sin 90^\circ - \sin 30^\circ \cos 90^\circ}\) is:
\(\frac{2}{\sqrt{3}}\)
\(2\sqrt{3}\)
\(\frac{1}{\sqrt{3}}\)
\(\frac{1}{1-\sqrt{3}}\)
Study the given graph and answer the question that follows.
The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.
The difference between the average demand and average production of the five companies taken together is:
Study the given graph and answer the question that follows.
The chart represents the demand and production of leather bags by five companies U, V, X, Y and Z.
If h% of the demand of leather bags for company X equals the demand of the leather bags for company V, then h equals:
A sum of ₹9,400 is divided between A, B and C such that the ratio of the shares of A and B is 4 : 3 and that of B and C is 5 : 4. What is the share of C?
If x = 555, y = 556 and z = 557, then find the value of x3 + y3 + z3 -3xyz.
The average age of 35 persons is 40 years. 5 new persons with an average age of 35 years joined them. The average age of all the persons is:
\(39\tfrac{3}{8}\,\text{years}\)
\(39\tfrac{1}{8}\,\text{years}\)
\(39\tfrac{7}{8}\,\text{years}\)
\(39\tfrac{5}{8}\,\text{years}\)
If 6 tan2 α - 2 = 0, (0° < α < 90°), then the value of α is: