1. Mathematical Tables1916 - Engineering - 186 pages |
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Page 128
... ; OP " hypothenuse " or " radius " ( may always be taken as positive ) ; and the six ratios between these sides are the principal trigonometric functions of the angle x ; thus : = = FIG . 3 . = sine of x cosine of x tangent of x = 128.
... ; OP " hypothenuse " or " radius " ( may always be taken as positive ) ; and the six ratios between these sides are the principal trigonometric functions of the angle x ; thus : = = FIG . 3 . = sine of x cosine of x tangent of x = 128.
Page 129
... sine , the coversed sine , and the ex- terior secant : - vers x = : 1 = 1 COS ; Covers x For graphs , see p . 174 ; series , p . 161 . - sin x ; exsec x = sec x - 1 . Signs of the Trigonometric Functions If x is in quadrant I II III IV ...
... sine , the coversed sine , and the ex- terior secant : - vers x = : 1 = 1 COS ; Covers x For graphs , see p . 174 ; series , p . 161 . - sin x ; exsec x = sec x - 1 . Signs of the Trigonometric Functions If x is in quadrant I II III IV ...
Page 130
... sine and cosine are best remembered by aid of the unit circle . ] To Find the Angle When One of Its Functions is Given . In general , there will be two angles between 0 deg . and 360 deg . corresponding to any given function . The ...
... sine and cosine are best remembered by aid of the unit circle . ] To Find the Angle When One of Its Functions is Given . In general , there will be two angles between 0 deg . and 360 deg . corresponding to any given function . The ...
Page 132
... sine of x , or inverse sine of x ; sometimes written arc sin x ) means the prin- cipal angle whose sine is x . Similarly for cos - ' x , tan - ' x , etc. ( The prin- cipal angle means an angle between -90 ° and + 90 ° in case of sin1 ...
... sine of x , or inverse sine of x ; sometimes written arc sin x ) means the prin- cipal angle whose sine is x . Similarly for cos - ' x , tan - ' x , etc. ( The prin- cipal angle means an angle between -90 ° and + 90 ° in case of sin1 ...
Page 134
... sin a tan b tan a sin A = ; cos A = ; tan A = • sin c tan c sin b The area of a spherical triangle area of a great circle spherical excess 180 ° . HYPERBOLIC FUNCTIONS The hyperbolic sine , hyperbolic cosine , etc. 134 TRIGONOMETRY.
... sin a tan b tan a sin A = ; cos A = ; tan A = • sin c tan c sin b The area of a spherical triangle area of a great circle spherical excess 180 ° . HYPERBOLIC FUNCTIONS The hyperbolic sine , hyperbolic cosine , etc. 134 TRIGONOMETRY.
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Common terms and phrases
9 Avg angle asymptotes axes axis binomial coefficients bisects body of table chord coefficients COMMON LOGARITHMS computation correct to four corresponding cosh Cosines Cotangents CUBE ROOTS CUBE ROOTS continued curvature curve cx² decimal point denoted diam diameter diff differential distance divide draw ellipse equal equivalent to moving Explanation of Table formula four figures fraction gram hyperbolic kilogram length logarithms loge machine meters Method moving it THREE Moving the decimal multiplication nth root parabola parallel perpendicular place in body plane plot point ONE place quantities radian radical axis radius requires moving scale segment Simultaneous Equations Sines sinh slide rule Solution specific gravity spherical SQUARE ROOTS straight line subtracting table gives tangent tanh triangle TRIGONOMETRIC FUNCTIONS unit variable vector VN N VN Volume x-axis y₁ zero