暗記メーカー
ログイン
Trigonometry
  • CRYSTAL JADE CRISTOBAL

  • 問題数 92 • 10/24/2023

    記憶度

    完璧

    13

    覚えた

    34

    うろ覚え

    0

    苦手

    0

    未解答

    0

    アカウント登録して、解答結果を保存しよう

    問題一覧

  • 1

    Sin A cos B - cos A sin B is equivalent to:

    sin(A-B)

  • 2

    The angular distance of a point on the terrestrial sphere from the north pole is called

    coaltitude

  • 3

    Csc 520° is equal to

    csc 20°

  • 4

    What is the sine of 820°?

    0.984

  • 5

    The logarithm of the negative number is

    imaginary

  • 6

    The sum of the squares of the sine and cosine of an angle.

    1

  • 7

    The logarithm of a number to the base e (2.7182... .) is called

    Napierian logarithm

  • 8

    The characteristic is equal to the exponent of 10, when the number is written in

    logarithmic form

  • 9

    Napierian logarithms have a base closest to which number?

    2.72

  • 10

    The logarithm of 1 to any base is

    zero

  • 11

    Sin (270° + β) is equal to

    -cosβ

  • 12

    The sum of the angles in an octant spheric triangle is

    270°

  • 13

    The median of a triangle is the line connecting the vertex and the midpoint of the opposite side. For a given triangle, these medians intersects at a point which is called the

    centroid

  • 14

    The altitude of the sides of the triangle intersects at the point known as

    orthocenter

  • 15

    The angle which the line of sight to the object makes with the horizontal which os above the eye of the observer is called

    angle of elevation

  • 16

    Log M - log N id equal to

    log(M/N)

  • 17

    The other form of loga(N) = b is

    N=a^b

  • 18

    The point of concurrency of the altitude of the triangle.

    orthocenter

  • 19

    The point of concurrency of the perpendicular bisector of the sides of the triangle.

    circumcenter

  • 20

    The point of concurrency of the angle bisector of the triangle is called

    incenter

  • 21

    The logarithm of the reciprocal of N is called the _______ of N.

    cologarithm

  • 22

    The inverse function of a logarithm is known as

    antilogarithm

  • 23

    The cologarithm of a number is the ______ of the logarithm of a number.

    negative

  • 24

    The first table logarithms with 10 as base was developed in 1615 by

    Henry Briggs

  • 25

    Who invented logarithms in 1614?

    John Napier

  • 26

    The number loga(b) is called the ____ of the system of a base a with respect to the system of base b.

    modulus

  • 27

    Napierian logarithm has a base of

    e

  • 28

    Log x = _________ ln x.

    0.434

  • 29

    lnx = ________ logx

    2.303

  • 30

    Which of the following cannot be a base for a logarithm.

    1

  • 31

    the integral part of a common logarithm is

    characteristic

  • 32

    The mantissa of a logarithm is

    positive value or zero

  • 33

    For 0 < x < 1, ln x is

    negative

  • 34

    If < N < 10, then

    1 < log N < 2

  • 35

    To change loga to logb N, multiply loga N by

    logb(a)

  • 36

    The numbers loga(b) and logb(a) are

    reciprocal to each other

  • 37

    Logarithm using 10 as base .

    Common logarithm

  • 38

    The logarithm of a product is the _____ of the logarithms, and the logarithm of a quotient is the ________ of the logarithms.

    sum, difference

  • 39

    When a logarithm is expressec as an integer plus a decimal (between 0 and 1), the integer is called

    Characteristic

  • 40

    The characteristic of a logarithm is 3. The number between

    1000 and 10000

  • 41

    Tha characteristics of the common logarithm of a number greater than 1 is

    zero or positive

  • 42

    The characteristic is ____ the exponent of 10, when the number is written in scientific notation.

    equal to

  • 43

    If logarithm to base 10 (denoted as log10) is called common logarithm is called natural logarithm, what do you call the logarithm of base 2 (denotes as lb)?

    Binary Logarithm

  • 44

    If the unknown is a conditional equation occurs as an exponent, the best way to solve the unknown is by

    taking the logarithm of both sides

  • 45

    Angles of rotation with the same initial side and terminal side.

    Coterminal Angle

  • 46

    An angle equal to revolution of 360°

    Perigon

  • 47

    The angle which the line of sight 'to the object makes with the horizontal is above the eye of an observer.

    Angle of elevation

  • 48

    The angle which the line of sight to the object makes with the horizontal is below the eye of an observer.

    Angle of depression

  • 49

    The triangle inscribed in a given triangle whose vertices are the feet of the three perpendiculars to the sides from some point inside, the given triangle.

    Pedal Triangle

  • 50

    The right triangle whose length of sides may be expressed as ratio of integral units.

    Primitive triangle

  • 51

    A triangle with no side equal is known as

    Scalene triangle

  • 52

    If two triangles have congruent bases, then the ratio of their areas equals the ratio of

    the lengths of their altitude

  • 53

    In an iscosceles right triangle, the hypotenuse is ________ times as long as each of the legs.

    √2

  • 54

    Which of the following is not a secondary part of a triangle?

    Sides

  • 55

    Which of the following is not a property of a triangle?

    The sum of two sides is less than the third side

  • 56

    Given the sides of a triangle as 3m and 5m. The third side is

    from 3m to 7m

  • 57

    A straight from the vertex of a triangle to the midpoint of the opposite side is known as

    median

  • 58

    Indicate the false statement:

    Three or more lines which have one point in common are said to be coplanar.

  • 59

    The case of the solution of the triangle in the plane where the given data lead to two solutions.

    Ambiguous case

  • 60

    The most proved theorem in Mathematics

    Pythagorean theorem

  • 61

    The least proved theorem in Mathematics.

    Fermat's last theorem

  • 62

    Equations used for checking the solution to a plane triangle using law of sine's are as follows: (a+b)/c=cos(1/2)(A-B)/sin(1/2)C and (a-b)/c=sin(1/2)(A-B)/cos(1/2)C. These equations are called

    Mollweide's equations

  • 63

    Napier's rule states that the sine of any middle part is equal to the product of the ____ of the adjacent parts.

    cosine

  • 64

    Napier's rule states that the sine of any middle part is equal to the product of the __________ of the adjacent parts.

    tangent

  • 65

    How many formulas may be derived from using Napier's Rules?

    10

  • 66

    The sum of all interior angles in a spherical triangle is always

    greater than 180° but less than 540°

  • 67

    The maximum value for the longitude is

    180°

  • 68

    If R is the radius of a sphere and E is an spherical excess (in radians), then the area of a spherical triangle is

    R^2E

  • 69

    One minute of the great circle arc on the surface of the earth is equivalent to

    1 nautical mile

  • 70

    A spherical triangle with at least one side is a quarter of a great circle is called ______ spherical triangle.

    trirectangular

  • 71

    One of the two great circles intersecting at right angle at the piles and dividing equinoctial points and ecliptic into 4 parts.

    Colure

  • 72

    The radius of the earth used in spherical trigonometry is

    3959 statute miles

  • 73

    The difference between a nautical mile and a statute mile.

    800 ft

  • 74

    Manila has a longitude of 121°°05'E. What is the time difference between Manila and Greenwich l, England which is at prime meridian?

    8 hrs and 4 mins

  • 75

    The earth is divided into how many time zone?

    24

  • 76

    In a spherical triangle, two angles (or side) are on the same species if they are both.

    between 0° and 90° or both between 90° and 180°

  • 77

    Spherical degree is a unit of a spherical area taken as 1/720 of the surface of the sphere. Howany spherical degrees a hemisphere have?

    360°

  • 78

    Which of the following statements is false about spherical trigonometry?

    The sum of all interior angles of a spherical triangles is 360°

  • 79

    The sum of the sides of a spherical triangles is always less than

    360°

  • 80

    The sum of any two angles of a spherical triangle is

    less than 180° + the third angle

  • 81

    Refers to the angular distance from the equator measured along meridian.

    Latitude

  • 82

    Refers to the angle at either pole between the meridian passing through a point and some fixed meridian known as the prime meridian.

    Longitude

  • 83

    Is half if a great circle terminated by the North Pole and South Pole.

    Meridian

  • 84

    When the hypotenuse of a right spherical triangle is less than 90°.

    the two legs are on the same quadrant

  • 85

    When the hypotenuse of a right spherical triangle is greater than 90°>

    one leg is one the first quadrant and the other on the second quadrant

  • 86

    The point where a ray from the center of the earth through an observer's position on it intersects the celestial sphere is call the observer's

    zenith

  • 87

    The point that is diametrically opposite the zenith is called

    nadir

  • 88

    The great circles through the north and south celestial poles are called

    hour circles and celestial meridian

  • 89

    An oblique equilateral parallelogram:

    rhombus

  • 90

    Mil is a unit of

    angle and length

  • 91

    The maximum value of a latitude is

    90°

  • 92

    A spherical triangle with all angles equals to a right triangle is called _____ spherical triangle?

    birectangular