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? asked in Science & MathematicsMathematics · 1 decade ago


Which of the following is the basis of the proof that sin2 x + cos2 x = 1?

A. trigonometric identity, which states that tan x = (sin x/cos x)

B. Law of Sines and Law of Cosines

C. equation of a circle with (0, 0) as its center and radius = 1

D. definition of the tangent ratio

2 Answers

  • Anonymous
    1 decade ago
    Favorite Answer

    Answer is C. I don't have much ability to explain it in English sorry.

    Found something on Wikipedia about unit circle.

    f (x, y) is a point on the unit circle in the first quadrant, then x and y are the lengths of the legs of a right triangle whose hypotenuse has length 1. Thus, by the Pythagorean theorem, x and y satisfy the equation

    x2 + y2 = 1.

    The equation x2 + y2 = 1 gives the relation

    cos^2(t) + sin^2(t) = 1

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  • 3 years ago

    first you would possibly want to discover the mid factors of PR and QR to get the measurements of M and N and also you try this with the aid of the midpoint formulation it is X1+X2 divided with the aid of two and Y1+Y2 divided with the aid of two and also you ought to get M=(5,4) and N=(9.5,4) Then to discover MN and PQ you should use the gap formulation it is the sq. direction of (X1-X2)^2+(Y1-Y2)^2 and also you ought to get MN= 4.5 and PQ= 9. those lengths evaluate to eachother because PQ=2MN or MN=PQ/2. this signifies that MN is the midsegment of triangle PQR. i desire this helps!

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