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garri49 [273]
3 years ago
9

Find the value of the function for θ. sin(45°) = ? A) 1/2 B) √2/2 C) √3/2

Mathematics
2 answers:
Marysya12 [62]3 years ago
8 0
The correct answer is B
Darya [45]3 years ago
3 0

Answer:

B) radical2/2

Step-by-step explanation:

To find the answer, you can A., either type this in a calculator, or B., use the unit circle.

When we observe the unit circle, we can see that the 45* angle is in Quadrant 1, and that the matching radian is pi/4, and the corresponding coordinates are (radical2/2, radical2/2).

So, sin(45*) is B) radical2/2.

Note that sin(θ) means the y-value of the angle's coordinates, cos(θ) normally means the x-value of the angle's coordinates..

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
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Answer:

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Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

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From the diagram attached

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Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

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4 years ago
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3 years ago
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