Answer: There are two solutions and they are
theta = 135
theta = 225
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Explanation:
Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.
It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:
theta = 135
theta = 225
You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.
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I recommend using your calculator to note that
-sqrt(2)/2 = -0.70710678
cos(135) = -0.70710678
cos(225) = -0.70710678
The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.
Answer:
Step-by-step explanation:12y+11
(x³y²)⁵
Split it for your convenience,
(x³)⁵.(y²)⁵
x¹⁵y¹⁰
So, your final answer is x¹⁵y¹⁰
Answer: Slope = 1
Step-by-step explanation:
Slope = <u>Y2 - Y1</u> <u> -6 -- 5</u> <u>-6 + 5</u> = <u> -1</u> = 1
X2 - X1 -3 --2 -3 + 2 -1
Using it's concept, the range of the function is given by:
y ≥ 1
<h3>What is the range of a function?</h3>
The range of a function is composed by the set that contains all output values for the function. Considering the graph of the function, the range is given by all the values of y, which compose the vertical axis of the graph.
Looking at this graph, the function assumes values of 1 and greater, hence the range of the function is given by:
y ≥ 1.
More can be learned about the range of a function at brainly.com/question/10891721
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