1) tan a = ? 2) cos a = ? 3) sin2 a = ? 4) cos2 a =? 5) sin2 a + cos2 a = ? Answers to the Trigonometry Problems 1) opposite/adjacent = Z/X 2) adjacent/hypotenuse = X/Y 3) (opposite/hypotenuse)2 = (Z/Y)2 4) (a
sin(B) = b sin(A) / a (2a) C = 180o- (A + B) (2b) c = a sin(C) / sin(A) (2c) a, b and C is known, calculate tan(A) = a sin(C) / (b - a cos(C)) (3a) B = 180o- (A + C) (3b) c = a sin(C) / sin(A) (3c) ...
Key EquationsCofunction Identities cost=sin(π2−t)sint=cos(π2−t)tant=cot(π2−t)cott=tan(π2−t)sect=csc(π2−t)csct=sec(π2−t)cost=sin(π2−t)sint=cos(π2−t)tant=cot(π2−t)cott=tan(π2−t)sect=csc(π2−t...
sin(α)=oppositehypotenusecos(α)=adjacenthypotenusetan(α)=oppositeadjacentsin(α)cos(α)tan(α)=hypotenuseopposite=hypotenuseadjacent=adjacentopposite By switching the roles of the legs, you can find the values of the trigonometric functions for the other angle. Taking the inverse of ...
由2cos Acos B=sin C=sin left(A+Bright)=sin Acos B+cos Asin B, 可得tan A+tan B=2,且A和B均为锐角, therefore tan Ain left(0,2right), therefore tan Atan B=tan Aleft(2-tan Aright)in left(0,1right]. 当tan A=tan B=1时取最大值. 故答案为:left(0,1right]. 由已知可得tanA...
三角形公式(Triangle formula).doc,三角形公式(Triangle formula) 1 there is only one line after two 2 the line between two points is the shortest 3 the same angle or isometric equal margin 4 with the angle of the complement of equal or constant 5 having
Analyticgeometry was initiated by the French mathematicianRené Descartes(1596–1650), who introduced rectangularcoordinatesto locate points and to enable lines and curves to be represented with algebraic equations. Algebraic geometry is a modern extension of the subject to multidimensional and non-Euclidea...
You can use the mnemonic SOHCAHTOA to help remember the equations above. If you split SOHCAHTOA into three parts, each part represents one of the formulas, where each letter is the first letter in the part of the equation. SOH· CAH· TOA SOH: sin(θ) = opposite ÷ hypotenuse CA...
sine,cosine,tangent,cotangent,secant,andcosecant.sin=opphyp cos=adjhyp tan=oppadj csc=hypopp sec=hypadj cot=adjopp Copyright©byHoughtonMifflinCompany,Inc.Allrightsreserved.2 Calculatethetrigonometricfunctionsfor.5 3 Thesixtrigratiosare sin=45 tan=43 sec=53 4 cos=35 cot=34 csc=54 ...
Simplify tan(x) over sin(x). How do you prove sec(x) - sin(x) tan(x) = cos(x)? Verify that the trigonometric equation is an identity.\-\sec^2 x \cos x - \csc x\cos x = -\csc^2x prove that sin { (pi/2) + x} = cos(x) ...