The Elements of Plane Trigonometry |
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1+tan² ১১ abscissa algebraic sign angle increases angles less c₁ changes sign circle circumference coincidence computation Construct coördinates cos & cos cos & sin cos(x cos² cosecant cosine cotangent curve decreases denoted dividing Draw equal equations EXERCISES Express the following figure find the functions following angles following functions functions of 45 Given the functions initial line length less than 90 log a log logarithm mantissa multiplied negative perigon Periodic Functions perpendicular positive projection of ABCD Quad quadrant radian radius ratios right triangle sec CSC sec² secant side sign and increases sin & sin sin ẞ sin x sin² sine subtracted tabular difference tan²x tangent terminal line tions Trigonometric Functions Verify the following x-projection y-projection of AC
Popular passages
Page 5 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 62 - The sine of the difference of any two arcs or angles is equal to the sine of the first into the cosine of the second, minus the cosine of the first into the sine of the second.
Page 5 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 4 - In this system the logarithm of a number is the power to which 10 must be raised to equal the number.
Page 5 - I. The logarithm of the product of two numbers is equal to the sum of the logarithms of the factors.
Page 3 - When the divisor contains one or more decimal places, move the decimal point in both dividend and divisor as many places to the right as there are decimal places in the divisor. Divide and point off as in the division of a decimal by a whole number.
Page 57 - The projection of a point on a line is the foot of the perpendicular from the point to the line. Thus A
Page 98 - The altitude of a certain rock is observed to be 47°, and after walking 1000 feet towards the rock, up a slope inclined at an angle of 32° to the horizon, the observer finds that the altitude is 77°.
Page 15 - T scale provided only for angles of 45° or less, and since the function of an angle is equal to the cofunction of the complementary angle, the operation involves a reversal of the method when an angle of more than 45° is recorded.
Page 46 - The trigonometrical functions are \NET/ the sine, the co-sine, the tangent, the co-tangent, the secant, and the cosecant.