A pelican starts at 60 feet above sea level. It descends 60 feet to catch a fish. How do I explain this?
2 answers:
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3 sin x = 2 ( 1 - sin² x )
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
Answer:
True
Step-by-step explanation:
Suppose you have a quadratic function
Factoring this expression results in:
Where h and k are real numbers.
Then the function is equal to 0 when and when
.
Therefore h and k will always be the solutions when we have the quadratic function factored in the form
Since we have ensured that the factors of the function contain only real numbers, then h and k are real numbers, and x and y must also be real numbers. Therefore solutions to an equation in this form will always be real solutions.
The statement is true