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Elements of Plane and Spherical Trigonometry with Logarithmic and Other ...
Sin vista previa disponible - 2016
9 Prop added addition algebraic amount angle applied base called circle co-ordinates column complement computation corresponding cosec cosine Cotg decimals differences direction distance divided equal equations error example EXERCISES expression figure formula four functions geometry given gives greater Hence increase interest interpolation intersect length less limit logarithm means measure minutes multiply negative NOTE obtain opposite perpendicular plane polar polygon positive powers preceding problem projection Prop Prove quadrant quantities radius rectangular reduce relations remaining represented respective result root secant shown sides sin a cos sin a sin sine sinº Solution spherical triangle square student substituting subtract suppose Tang tangent theorem third tion triangle trigonometric unit unity values write zero
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 66 - 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.
Página 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 34 - To find the trigonometric functions corresponding to an angle between 45° and 90°, we take the degrees at the bottom of the page and the minutes in the right-hand column. The values of the...
Página 139 - 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...
Página 132 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Página 44 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles.
Página 73 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.