Simplification Questions

• A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?
• What is the value of sec2θ + 1sec2θ - 1 x 12cotθ - tanθ ?
• What is the value of the expression a3 - 5 + 2816a , when a = 2?
• Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?
• What is the value of ( 1/3 - cot60°) ?
• ∆ XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?
• If cot(A/2) = x, then the value of x is
• If (1 - cosA)/(1 + cosA) = x, then the value of x is
• Find equation of the perpendicular bisector of segment joining the points (2,6) and (4,0)?
• Coefficient of x in (x + 8)(6 - 3x) is
• If x + y = 10 and x2 + y2 = 68 , then find xy
• If 5x + 4(1 - x) > 3x - 4 > 5x/3 - x/3; then x can take which of the following values?
• Shaan got a total of Rs. 912 in the denomination of equal numbers of Rs. 1, Rs. 5 and Rs. 10 coins. How many coins do Shaan posses?
• What is the simplified value of 18 - 12 ?
• What is the simplified value of 18 - 12 ?
• What is the value of (tan30 ° - √3/2) ?
• ∆DEF is right angled at E. If cotD = 5/12, then what is the value of sinF ?
• If tan 45° + cosec 30° = x, then find the value of x.
• If √[(1 + cosA)/2] = x, then find the value of x.
• If secA + tanA = x, then find the value of x.