Simplification Questions

• Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?
• Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?
• What is the value of tan 1° tan 2° tan 3°....... tan 89° ?
• Which of the following pair of numbers is the solution of the equation 3x+2+ 3–x= 10 ?
• If 3x - 4 > 2 - x/3 and 3x + 5 > 4x - 5; then find the value of x?
• 5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs 2,000. What is the price (in Rs.) of a single bag?
• If 4(2x - 4) - 2 > 3x - 1 ≥ 4x - 7, then x can take which of the following values?
• If a + b = 11 and a2+ b2= 61 , then value of ab is
• What is the value of tan -240°?
• tan(A/2) is equal to
• If x2+1x2 = 2 , then the value of x - 1x is
• The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?
• If tanA + tanB = X, then the value of X is
• If 5x - 40 = 3x, then the numerical value of 2x - 11 is
• What is the area of the sector whose central angle is 90° and radius of the circle is 14 cm?
• If cos3A = X, then value of X?
• In ∆XYZ measure of angle Y is 90 deg. If cosecX = 13/12, and XY = 1cm, then what is the length ( in cm ) of side YZ?
• XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆XYZ is
• If x + 1/x = 6, then value of x2 + 1/x2 is
• If 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?