## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 74

Page 209

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**tang**AM , or**tang**ACM , CT sec AM , or sec ACM , AP - ver - sin AM , or ver - sin ACM . VI . Having taken the arc AD equal to a quadrant , from the points M and D draw the lines MQ , DS , perpendicular to the radius CD , the one ... Page 210

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**tang**0 = 0 , cos 0 = R , sec 0 = R . VIII . As the point M advances towards D , the sine increases , and so likewise does the tangent and the secant ; but the cosine , the cotangent , and the cosecant , diminish . When the point M is at ... Page 211

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**tang**90o - ∞ The complement of 90o being zero , we have**tang**0 = cot 90 ° and cot 0 =**tang**90o . Hence cot 90o 0 , and cot 0 = ∞ . X. The point M continuing to advance from D towards B , the sines diminish and the cosines increase ... Page 212

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**tang**180 ° = 0 . When the point M ' passes the point B , and comes into the position N ' , the tangent of the arc ADN ' will be the line AT : hence , the tangents of all arcs which terminate in 212 PLANE TRIGONOMETRY . Page 213

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**tang**270 ° = ∞ . When the point has passed along into the fourth quadrant to N , the tangent of the arc ADN'N will ...**tang**( x ) = -**tang**x cot ( x ) = - cot x By considering the arc AM , and its supplement AM PLANE TRIGONOMETRY . 213.### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex