Trigonometry for Beginners, with Numerous ExamplesMacmillan and Company, 1875 - 228 páginas |
Otras ediciones - Ver todas
Términos y frases comunes
A-sin A+ cot A+B+C angle BAC angle increases angle PAB AP coincides AP moves Arithmetical Progression base centre circle circular measure cos² cosine cotangent decimal denote determine distance equal Euclid example express feet figure find log find the angle find the height Find the number formulæ four right angles given angle Given log Hence hypotenuse L sin length logarithm negative number of degrees number of grades observe the angle opposite angles positive preceding Article present Chapter radius regular polygon right-angled triangle sec A cosec sec² secant shew Shew that tan sides sin A+ sin sin sin sin² sin²A sin³ sine Solve the equation straight line drawn subtends an angle suppose Tables tangent tower triangle having given Trigono Trigonometrical Ratios vers yards ОР
Pasajes populares
Página 172 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 8 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 128 - PM vanishes; thus as the angle increases from 90' to 180° the sine diminishes from 1 to 0. While AP moves through the third quadrant PM is negative, and increases numerically until AP coincides with AC'; thus as the angle increases from. 180° to' 270" the sine is negative and increases numerically from 0 to — 1.
Página 147 - B) _ sin A cos B + cos A sin B cos A cos B - sin A sin B...
Página 34 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 35 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=ax, then, raising both sides to the mth power, we have Mm = (a*)i" = a™ . ' Therefore, log (Mn) =xm= (log M) X m.
Página 23 - Law of Sines — In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Página 173 - To shew that the angle subtended at the centre of a circle by an arc equal to the radius of the circle if the same for all circles.
Página 228 - js. 6d. A TREATISE ON THE DIFFERENTIAL CALCULUS. With numerous Examples. Sixth Edition. Crown 8vo. cloth.