Question

Find the quadratic equation whose roots are values of than TAN 45 and Cosec 30

Answer 1

Answer:

x² - 3x + 2 = 0

Step-by-step explanation:

Let α and β be the roots of the equation.

The quadratic equation will be of form x² - (α + β)x + αβ = 0.

α = Tan45 = 1.

β = Cosec 30 = 1/Sin 30 = 1/1/2 = 2.

Sum of roots = α + β  = 1 + 2 = 3

Product of roots = αβ = 1 * 2 = 2.

Thus the equation is x² - 3x + 2 = 0