True or False? The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.
2 answers:
Answer: The answer is TRUE.
Step-by-step explanation: The given statement is
"The measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle."
We are to check whether the above statement is true or false.
We have a theorem in geometry that states that
An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc .
Therefore, the given statement is true. An image verifying the above theorem and given statement is attached herewith.
In the figure, AB is a chord of the circle and BC is the tangent at the point B. So, according to the theorem, we have
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The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
<h3>What is sin function?</h3>It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
Learn more about the sin function here:
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