| William Charles Brenke - Trigonometry - 1917 - 200 pages
...twice their product by the cosine of their included angle. Law of Tangents. — The sum of 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. Half Angles. — The sine of half an angle... | |
| Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 384 pages
...sides arid the included angle are given. 101. Law of Tangents. The sum of any two sides of a triangle **is to their difference as the tangent of half the sum of** their opposite angles is to the tangent of half their difference. From the law of sines, we have a... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 330 pages
...54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides **is to their difference as the tangent of half the sum of the** angles opposite the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b... | |
| Leonard Magruder Passano - Trigonometry - 1918 - 176 pages
...54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides **is to their difference as the tangent of half the sum of the** angles opposite the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b... | |
| Education - 1888 - 66 pages
...logarithm of a number having four places. 5. Show that 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. GENERAL HISTORY. 1. Before the Greeks,... | |
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