For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
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Answer:
(2, 1) (1, 5) and (4, 3)
Step-by-step explanation:
Basically switch the x and y axes, and depending on the quadrant, switch the negative and positive signs to their appropriate ones.
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The equation in slope intercept form is:
A line parallel to this would have the same slope, which means our line that passes through the point (0,-4) has a slope of -3. We now have to plug in 0 as our x and -4 as our y in y=-3x+b so:
Our equation is then y=-3x-b
Answer:
period = 2
Step-by-step explanation:
The period is the measure of 1 complete cycle of the wave
The wave enters at x = 0 , y = - 0.5
After 1 cycle the wave is at x = 2, y = - 0.5
period = 2 - 0 = 2
Answer:
Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached
Step-by-step explanation:
Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.
Its general form is denoted by
,
where 
represents the 
of the Fibonnaci series.
The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.
But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows
