Find the 20th term of the arithmetic sequence 7, 3, -1, -5, …
1 answer:
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Sin ø = opposite/hypotenuse = 2/3, cos ø = adjacent/hypotenuse = ?/3, tan ø = opposite/adjacent = 2/?, sec ø = 1/cos ø
to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2
Manipulating the equation to find the adjacent value = ?
adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)
so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec <span>ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b </span>
to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2
Manipulating the equation to find the adjacent value = ?
adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)
so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec <span>ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b </span>
Answer:
4 real zeros, up on left, up on right
Step-by-step explanation:
The positive coefficient of x^4 tells you the graph will open upward (up on left, up on right). Descarte's rule of signs tells you there will be 0 or 2 positive real roots and 0 or 2 negative real roots. Based solely on end-behavior, the appropriate choice is the last one: ... up on left, up on right.
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<em>More about the zeros</em>
The sum of coefficients is zero, indicating x=1 is a root (zero). Hence there will be 2 positive real roots. Changing the signs of the coefficients of odd-degree terms also gives a sum of coefficients that is zero, indicating x=-1 is a root and that there are 2 negative real roots. At this point, you have enough information to factor the function completely, if you want. You also know there are 4 real roots.
