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  2. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    Special angle-based triangles inscribed in a unit circle are handy for visualizing and remembering trigonometric functions of multiples of 30 and 45 degrees. Angle-based special right triangles are specified by the relationships of the angles of which the triangle is composed.

  3. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [ 1 ] In the table below, the label "Undefined" represents a ratio 1 : 0. {\displaystyle 1:0.}

  4. Multiple (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Multiple_(mathematics)

    In mathematics, a multiple is the product of any quantity and an integer. [1] In other words, for the quantities a and b , it can be said that b is a multiple of a if b = na for some integer n , which is called the multiplier .

  5. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    The Chebyshev method is a recursive algorithm for finding the n th multiple angle formula knowing the () th and () th values. [ 22 ] cos ⁡ ( n x ) {\displaystyle \cos(nx)} can be computed from cos ⁡ ( ( n − 1 ) x ) {\displaystyle \cos((n-1)x)} , cos ⁡ ( ( n − 2 ) x ) {\displaystyle \cos((n-2)x)} , and cos ⁡ ( x ) {\displaystyle \cos ...

  6. 45 (number) - Wikipedia

    en.wikipedia.org/wiki/45_(number)

    45 is an odd number and a Størmer number, as well as the 9th triangular number [1] and 5th hexagonal number [2]. 45 degrees is half of a right angle. It is also the smallest positive number that can be expressed as the difference of two nonzero squares in more than two ways: 7 2 − 2 2 {\displaystyle 7^{2}-2^{2}} , 9 2 − 6 2 {\displaystyle ...

  7. Least common multiple - Wikipedia

    en.wikipedia.org/wiki/Least_common_multiple

    A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.

  8. 'Repeated failures' at jail where three men died - AOL

    www.aol.com/repeated-failures-jail-where-three...

    The jury cited a number of issues around staffing levels and the sharing of "risk-pertinent information", with "multiple missed opportunities" to provide support. ... 45. Rolandas Karbauskas ...

  9. Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Multiplication_table

    Cycles of the unit digit of multiples of integers ending in 1, 3, 7 and 9 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad. Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5.