Simplification Questions

• AB is the diameter of a circle with center O and P be a point on its circumference. If ∡ POA = 120°, then the value of ∡ PBO is
• If P2+1P2 = 47 , then the value of P + 1P is
• The least value of tan2x + cot2x is
• If x + √5 = 5 + √y, and x, y are positive integers, then the value of x+yx + y
• If cos 21° = x/y, then cosec 21° - cos 69° is equal to
• If ( x - 5)2 + (y - 2)2 + (z - 9)2 = 0 , then value of (x + y - z) is
• If (x + 1/x) = 3, then x8+1x8 is equal to
• If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is
• If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is
• If a1-2a+b1-2b+c1-2c = 12, then 11-2a+11-2b+11-2c value is
• The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is
• If Ɵ is positive acute angle and 7cos2Ɵ + 3sin2Ɵ = 4 , then the value of θ is
• If x = 313- 3-13, then 3x3 + 9x value is
• If xy (x + y) = m, then the value of x3 + y3 + 3m is:
• The value of sinθ+sin∅cosθ+cos∅ + cosθ-cos∅sinθ-sin∅ is
• If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?
• If 3a+4b3c+4d = 3a-4b3c-4d , then
• If cotθ = 4 , then the value of 5sinθ+3cosθ5sinθ-3cosθ is
• If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?
• What is the value of Sec 30° + Tan 60°?