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  2. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    Similar right triangles illustrating the tangent and secant trigonometric functions Trigonometric functions and their reciprocals on the unit circle. The Pythagorean theorem applied to the blue triangle shows the identity 1 + cot 2 θ = csc 2 θ, and applied to the red triangle shows that 1 + tan 2 θ = sec 2 θ. The identities

  3. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).

  4. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

  5. File:30° 60° 90° Special Right Triangle.svg - Wikipedia

    en.wikipedia.org/wiki/File:30°_60°_90°_Special...

    A black square represents the borders of the file. Inside, the triangle is depicted with all of its special angles. The right angle is symbolized by a small square, and its measure, 90°, is written to the right and above it. The angle placed to the right of the 90° angle is shown as an arc, and its measure, 30°, is written to the left of the ...

  6. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = ⁠ 13×5 / 2 ⁠ = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent. With the bent ...

  7. Navy contractor ‘Fat Leonard’ who was behind one of US ...

    www.aol.com/navy-contractor-fat-leonard-behind...

    The mastermind behind the decade-long bribery scheme and one of the largest corruption scandals in US military history that brought down dozens of Navy officials has been sentenced to 15 years in ...

  8. Cardinals leave retractable roof open, and of course it ...

    www.aol.com/sports/cardinals-leave-retractable...

    The Arizona Cardinals built a beautiful new stadium in 2006 with a retractable roof, and the roof wasn't with precipitation in mind. You may have heard that it doesn't rain much in the Phoenix area.

  9. PayPal fixes outage that affected thousands worldwide - AOL

    www.aol.com/news/paypal-outage-affects-thousands...

    The company experienced a system issue that affected multiple products including account withdrawals, peer-to-peer payment service Venmo, online checkout and crypto. PayPal said the issue, which ...

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