The sine ratio is formed by the side opposite the hypotenuse over the ___.
2 answers:
Remember SOH CAH TOA, sound it out and remember that 'phrase.
The first letter represents the function (sin, cos, tan). The second letter represents the numerator and the third letter represents the denominator.
By this logic, we'd go to SOH, and the top would be O (opposite) and the bottom would be H (hypotenuse).
The first letter represents the function (sin, cos, tan). The second letter represents the numerator and the third letter represents the denominator.
By this logic, we'd go to SOH, and the top would be O (opposite) and the bottom would be H (hypotenuse).
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Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
