Elements of Plane TrigonometryLongmans, Green, 1911 - 136 pagina's |
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Veelvoorkomende woorden en zinsdelen
1+tan A+B+C acute angle angle of elevation angles to OX angular velocity B-sin B+cos called centre changes from zero Checks circumscribing circle cos² cosec cotangent decreases deduce denote Describe the angles drawn at right equal equation EXAMPLES expression figure Find the distance Find the height following identities formulas fourth quadrants respectively given graphs half-angle)² Hence hypotenuse increases initial line inscribed circle integer inverse trigonometric functions isosceles triangle least positive value length line definitions logarithms M₁ negative number of radians OB₁ OM₁ radian measure radians per sec ratios regular polygon relations in Art revolutions per minute revolves right angles right-angled triangle sec² secant sides sin² solution Solve sq.ft subtended Supplementary angles tan-¹ tan² terminal line tower triangle ABC unit circle whole number π π
Populaire passages
Pagina 93 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Pagina 35 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Pagina 22 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Pagina 118 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Pagina 23 - A tower 100 feet high stands on the top of a cliff; from a point on the sand at the foot of the cliff the angles of elevation of the top and bottom of the tower are observed to be 75° and 60° respectively ; find the height of the cliff.
Pagina 26 - ... other side of the first and a corresponding side of the second. Therefore, the polygons are similar (433). 450. Corollary — The areas of two regular polygons of the same number of sides are to each other as the squares of their homologous lines (436). 451. Corollary. — The ratio of the radius to the side of a regular polygon of a given number of sides, is a constant quantity. For a radius of one is to a radius of any other, as a side of the one is to a side of the other (434). Then, by alternation...
Pagina 2 - Arcs 60 seconds (") =1 minute (') 60 minutes = 1 degree (°) 90 degrees = 1 right angle 360 degrees = 1 circle...
Pagina 24 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Pagina 93 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum.