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2 years ago

PROJECT: GEOMETRIC FIGURES IN THE COORDINATE PLANE

Mathematics

1 answer:

viktelen [127]2 years ago

4 0

Answer:

1,Point C (0, 2)

2, Scalene triangles are triangles with three sides of different lengths. ... For example, a triangle with side lengths of 2 cm, 3 cm, and 4 cm would be a scalene triangle. A triangle with side lengths of 2 cm, 2 cm, and 3 cm would not be scalene, since two of the sides have the same length

3, EFGH is a cyclic quadrilateral .

Step-by-step explanation:

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The complete question in the attached figure

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First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

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and taking the positive square roots, we have

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Then

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Notice how we don't need sin(θ) ?

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cos²(θ) + sin²(θ) = 1

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