Question

The tangent of an angle is 2.4. find its cosecant, the cosecant of half the angle and the cosecant of the supplement of double the angle.​

Answer 1

Answer:

the equation is given to be : p(x) = 4x² + 24x + 36

to find the zeros of the given equation, equate the given p(x) = 0

⇒ 4x² + 24x + 36 = 0

dividing each term of the equation by 4

⇒ x² + 6x + 9 = 0

⇒ x² + 3x + 3x + 9 = 0

⇒ x( x + 3) + 3(x + 3) = 0

⇒ (x + 3)(x + 3) = 0

⇒ α = -3 and β = -3

now, α + β = -3 - 3 = -6

-b/a = -24/4

⇒ -b/a = -6

so, α + β = -b/a

and, α·β = 9 = c/a

so, α·β = c/a

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