Plane and Spherical TrigonometryGinn, 1886 |
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Common terms and phrases
3d quadrant acute angle adapted to logarithmic angle or arc angle XOP asin B₁ base chord circle of latitude Circular Functions circular measure colog complement cosecant cosine cotangent ctn A ctn ctn q deduced denote direction equation Example figures find the angle find the functions find the height following angles formulas functions of 90 Geometry given angle hypothenuse initial line length less than 180 log csc log ctn log sin meas miles negative obtained oc'B OC"B opposite perp perpendicular Plane Trig positive Prove quad quadrant right angle right triangle secant sin a sin sine and cosine solution solve spherical triangle Spherical Trigonometry straight line substituting tangent terminal line tions triangle of reference trigonometric functions vertex ов
Popular passages
Page 15 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Page 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 73 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 24 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Page xi - Prove that the square of any side of a triangle is equal to the sum of the squares of the other two sides diminished by twice the rectangle of these sides multiplied by the cosine of their included angle.
Page 93 - From a station B at the base of a mountain its summit A is seen at an elevation of 60°; after walking one mile towards the summit up a plane making an angle of 30° with the horizon to another station C, the angle BCA is observed to be 135°.
Page 27 - Trig. [19]), cos \ (A ± B) = cos \ A cos \ B ^ sin \ A sin \ B, the...
Page 7 - The sine of any middle part is equal to the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the opposite parts.