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1.In the quadratic equation 2 sin^x - 3 sinx+1=0 the value of x

2.if a sphere is inscribed in a cube of side a, then volume of sphere is 3.if sinA=cosB then sin(A+B)= 4.if the diagonals of rhombus are 10cm and 24cm then its area is

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1)

2sin²x - 2sinx - sinx + 1 = 0

⇒ (2sinx - 1)(sinx - 1) = 0

so sinx = 1 ⇒ x = π/2 or sinx = ⇒ x = π/6

2)

so the diameter of the sphere is a unitand radius = a/2 unit