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Use the figure to complete the following statements

Use the figure to complete the following statements-example-1

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Explanation:

I don't see the options and how they are written, but I can tell you the right answer in numbers :

sin(F) = 3/5 = 0.6

cos(F) = 4/5 = 0.8

sin(G) = 4/5 = 0.8

cos(G) = 3/5 = 0.6

why ?

remember the norm circle (radius 1) with ask the trigonometric functions.

the sine of an angle is the vertical height from that point in the circle arc down to x-axis.

the cosine of an angle is the length on the x-axis from the center of the circle to the point, where the sine touches the x-axis.

in any case, sine and cosine enclose the right angle (90°).

each function is now defined for the norm circle with radius = 1.

for angles in larger circles we need to divide the find lengths by the actual radius (we formality do this in the norm circle too, but a division by 1 does not change anything).

for the angles at F and G the radius is the side with the length 5.

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