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The angle 01 is located in Quadrant II, and cos(01)= -22/29

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User Dudulu
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1 Answer

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Final answer:

In Quadrant II, the given cos(01) = -22/29 represents the ratio of the adjacent side to the hypotenuse. To find the sine of the angle, we can use the Pythagorean theorem to calculate the length of the opposite side.

Step-by-step explanation:

The angle 01 is located in Quadrant II, which is the upper left quadrant of the coordinate plane. In this quadrant, the x-coordinate is negative and the y-coordinate is positive. The given value of cos(01) = -22/29 tells us that the ratio of the adjacent side to the hypotenuse is -22/29. To find the values of the other trigonometric ratios, we can use the Pythagorean theorem. Since cosine is negative in Quadrant II, the value of sine will be positive. Using the Pythagorean theorem, we can find the length of the opposite side as follows:

sine(01) = sqrt(1 - cosine^2(01)) = sqrt(1 - (-22/29)^2) = sqrt(1 - 484/841) = sqrt(357/841) = sqrt(357)/sqrt(841) = sqrt(357)/29

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User Juveria
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